algebraic curves

Algebraic Curves and Riemann Surfaces for Undergraduates The Theory of the Donut【電子書籍】 Anil Nerode【中古】【輸入品 未使用】An Introduction to Riemann Surfaces カンマ Algebraic Curves and Moduli Spaces (Theoretical and Mathematical Physics)平面代数曲線入門 / 原タイトル:Introduction to Plane Algebraic Curves 本/雑誌 (単行本 ムック) / ErnstKunz/著 新妻弘/訳【中古】【輸入品 未使用】Lectures on Curves カンマ Surfaces and Projective Varieties: A Classical View of Algebraic Geometry (EMS Textbooks in Mathematics)Riemann Surfaces and Algebraic Curves A First Course in Hurwitz Theory【電子書籍】 Renzo Cavalieri(出版社)American Mathematical Society Vertex Algebras and Algebraic Curves 1冊 978-0-8218-3674-3Pencils of Cubics and Algebraic Curves in the Real Projective Plane【電子書籍】 S verine Fiedler - Le Touz洋書 Paperback, Rational Algebraic Curves: A Computer Algebra Approach (Algorithms and Computation in Mathematics)Singular Algebraic Curves With an Appendix by Oleg Viro【電子書籍】 Gert-Martin Greuel【中古】【輸入品 未使用】Algebraic Surfaces in Positive Characteristics: Purely Inseparable Phenomena in Curves and SurfacesAlgebraic Surfaces In Positive Characteristics: Purely Inseparable Phenomena In Curves And Surfaces【電子書籍】 Masayoshi MiyanishiAlgebraic Curves and Surfaces A History of Shapes【電子書籍】 Laurent BusAlgebraic Curves Towards Moduli Spaces【電子書籍】 Maxim E. Kazaryan(出版社)Cambridge U.P. Riemann Surfaces and Algebraic Curves 1冊 978-1-316-60352-9Ramified Surfaces On Branch Curves and Algebraic Geometry in the 20th Century【電子書籍】 Michael Friedman
 

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  • <p>The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience.</p> <p>At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or “donut”) is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric “chord-and-tangent” method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts.</p> <p>Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses...
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  • 【中古】【輸入品・未使用】An Introduction to Riemann Surfaces%カンマ% Algebraic Curves and Moduli Spaces (Theoretical and Mathematical Physics)【メーカー名】Springer【メーカー型番】【ブランド名】Springer【商品説明】An Introduction to Riemann Surfaces%カンマ% Algebraic Curves and Moduli Spaces (Theoretical and Mathematical Physics)当店では初期不良に限り、商品到着から7日間は返品を 受付けております。こちらは海外販売用に買取り致しました未使用品です。買取り致しました為、中古扱いとしております。他モールとの併売品の為、完売の際はご連絡致しますのでご了承下さい。速やかにご返金させて頂きます。ご注文からお届けまで1、ご注文⇒ご注文は24時間受け付けております。2、注文確認⇒ご注文後、当店から注文確認メールを送信します。3、配送⇒当店海外倉庫から取り寄せの場合は10〜30日程度でのお届けとなります。国内到着後、発送の際に通知にてご連絡致します。国内倉庫からの場合は3〜7日でのお届けとなります。 ※離島、北海道、九州、沖縄は遅れる場合がございます。予めご了承下さい。お電話でのお問合せは少人数で運営の為受け付けて...
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  • ご注文前に必ずご確認ください<商品説明><収録内容>第1部 平面代数曲線(アフィン代数曲線射影代数曲線代数曲線の座標環と2曲線の交点代数曲線上の有理関数交叉重複度と2曲線の交叉サイクル ほか)第2部 代数的な基礎(次数代数と次数加群フィルター代数商標と局所化中国式剰余の定理ネーター局所環と離散付値環 ほか)<商品詳細>商品番号:NEOBK-986770ErnstKunz / Cho Nizuma Hiroshi / Yaku / Heimen Daisu Kyokusen Nyumon / Original Title: Introduction to Plane Algebraic Curvesメディア:本/雑誌発売日:2011/07JAN:9784320019706平面代数曲線入門 / 原タイトル:Introduction to Plane Algebraic Curves[本/雑誌] (単行本・ムック) / ErnstKunz/著 新妻弘/訳2011/07発売
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  • 【中古】【輸入品・未使用】Lectures on Curves%カンマ% Surfaces and Projective Varieties: A Classical View of Algebraic Geometry (EMS Textbooks in Mathematics)【メーカー名】Amer Mathematical Society【メーカー型番】【ブランド名】【商品説明】Lectures on Curves%カンマ% Surfaces and Projective Varieties: A Classical View of Algebraic Geometry (EMS Textbooks in Mathematics)当店では初期不良に限り、商品到着から7日間は返品を 受付けております。こちらは海外販売用に買取り致しました未使用品です。買取り致しました為、中古扱いとしております。他モールとの併売品の為、完売の際はご連絡致しますのでご了承下さい。速やかにご返金させて頂きます。ご注文からお届けまで1、ご注文⇒ご注文は24時間受け付けております。2、注文確認⇒ご注文後、当店から注文確認メールを送信します。3、配送⇒当店海外倉庫から取り寄せの場合は10〜30日程度でのお届けとなります。国内到着後、発送の際に通知にてご連絡致します。国内倉庫からの場合は3〜7日でのお届けとなります。 ※離島、北海道、九州、沖縄は遅れる場合がございます。予めご了承下さい。お電話で...
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  • <p>Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願...
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  • (出版社)American Mathematical Society Vertex Algebras and Algebraic Curves 1冊●著者:Frenkel, Edward/Ben-Zvi, D.●シリーズ名:Mathematical Surveys and Monographs●Vol. 88●頁数他:xiii, 400 p.●装丁:Paper●版次:2nd ed.●出版社:American Mathematical Society●発行日:2004/1/1
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  • <p><em><strong>Pencils of Cubics and Algebraic Curves in the Real Projective Plane</strong></em> thoroughly examines the combinatorial configurations of n generic points in R<em>P</em>?. Especially how it is the data describing the mutual position of each point with respect to lines and conics passing through others.</p> <p>The first section in this book answers questions such as, can one count the combinatorial configurations up to the action of the symmetric group? How are they pairwise connected via almost generic configurations? These questions are addressed using rational cubics and pencils of cubics for n = 6 and 7. The book’s second section deals with configurations of eight points in the convex position. Both the combinatorial configurations and combinatorial pencils are classified up to the action of the dihedral group D8. Finally, the third section contains plentiful applications and results around Hilbert’s sixteenth problem.</p> <p>The author meticu...
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  • *** We ship internationally, so do not use a package forwarding service. We cannot ship to a package forwarding company address because of the Japanese customs regulation. If it is shipped and customs office does not let the package go, we do not make a refund. 【注意事項】 *** 特に注意してください。 *** ・個人ではない法人・団体名義での購入はできません。この場合税関で滅却されてもお客様負担になりますので御了承願います。 ・お名前にカタカナが入っている場合法人である可能性が高いため当店システムから自動保留します。カタカナで記載が必要な場合はカタカナ変わりローマ字で記載してください。 ・お名前またはご住所が法人・団体名義(XX株式会社等)、商店名などを含めている場合、または電話番号が個人のものではない場合、税関から法人名義でみなされますのでご注意ください。 ・転送サービス会社への発送もできません。この場合税関で滅却されてもお客様負担になりますので御了承願います。 *** ・注文後品切れや価格変動でキャンセルされる場合がございますので予めご了承願います。 ・当店でご購入された商品は、原則として、「個...
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  • <p>Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and p...
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  • 【中古】【輸入品・未使用】Algebraic Surfaces in Positive Characteristics: Purely Inseparable Phenomena in Curves and Surfaces【メーカー名】World Scientific Pub Co Inc【メーカー型番】【ブランド名】World Scientific Publishing Company【商品説明】Algebraic Surfaces in Positive Characteristics: Purely Inseparable Phenomena in Curves and Surfaces当店では初期不良に限り、商品到着から7日間は返品を 受付けております。こちらは海外販売用に買取り致しました未使用品です。買取り致しました為、中古扱いとしております。他モールとの併売品の為、完売の際はご連絡致しますのでご了承下さい。速やかにご返金させて頂きます。ご注文からお届けまで1、ご注文⇒ご注文は24時間受け付けております。2、注文確認⇒ご注文後、当店から注文確認メールを送信します。3、配送⇒当店海外倉庫から取り寄せの場合は10〜30日程度でのお届けとなります。国内到着後、発送の際に通知にてご連絡致します。国内倉庫からの場合は3〜7日でのお届けとなります。 ※離島、北海道、九州、沖縄は遅れる場合がございます。予めご了承下さい。お電話でのお問合せは少人数で運営の為...
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  • <p>Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field. However, over a field of positive characteristics, many unpredictable phenomena arise where analyses will lead to further developments.In the present book, we consider first the forms of the affine line or the additive group, classification of such forms and detailed analysis. The forms of the affine line considered over the function field of an algebraic curve define the algebraic surfaces with fibrations by curves with moving singularities. These fibrations are investigated via the Mordell-Weil groups, which are originally introduced for elliptic fibrations.This is the first book which explains the phenomena arising from purely inseparable coverings and Artin-Schreier coverings. In most cases, the base surfaces are rational, hence the covering surfaces are unirational. There exists a vast, unexplored world of uniration...
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  • <p>This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters). The aim of this book is manifold, it intends to overview the wide topic of algebraic curves and surfaces (also with a view to higher dimensional varieties) from different aspects: the historical development that led to the theory of algebraic surfaces and the classification theorem of algebraic surfaces by Castelnuovo and Enriques; the use of such a classical geometric approach, as the one introduced by Castelnuovo, to study linear systems of hypersurfaces; and the algebraic methods used to find implicit equations of parametrized algebraic curves and surfaces, ranging from classical elimination theory to more modern tools involving syzygy theory and Castelnuovo-Mumford regularity. Since our subject has a long and venerable history, this book cannot cover all the details of this broad topic, theory and applications, but it is meant to serve as a guide for both young mathematicia...
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  • <p>This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well.</p> <p>The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces.</p> ...
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  • (出版社)Cambridge U.P. Riemann Surfaces and Algebraic Curves 1冊●著者:Cavalieri, Renzo/Miles, Eric●シリーズ名:London Mathematical Society Student Texts●Vol.87●頁数他:194 p.●装丁:Paper●出版社:Cambridge U.P.●発行日:2016/9/29
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  • <p>The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon’s program of braid monodromy factorization.</p> <p>By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve a...
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