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algebraic geometry ii

Integrable Systems and Algebraic Geometry: Volume 2【電子書籍】

Basic Algebraic Geometry 2 Schemes and Complex Manifolds【電子書籍】 Igor R. Shafarevich

（出版社）Hindustan Book Agency （India） Algebraic Geometry II 1冊 978-93-80250-80-9

Hodge Theory and Complex Algebraic Geometry II: Volume 2【電子書籍】 Claire Voisin

An Algebraic Approach to Geometry Geometric Trilogy II【電子書籍】 Francis Borceux

Integrable Systems and Algebraic Geometry: Volume 2【電子書籍】

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価格￥12,926

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＜p＞Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. The articles in this second volume discuss areas related to algebraic geometry, emphasizing the connections of this central subject to integrable systems, arithmetic geometry, Riemann surfaces, coding theory and lattice theory.＜/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いします...

Basic Algebraic Geometry 2 Schemes and Complex Manifolds【電子書籍】[ Igor R. Shafarevich ]

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価格￥7,292

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＜p＞Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.''＜/p＞＜p＞The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, K?hler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''...

（出版社）Hindustan Book Agency （India） Algebraic Geometry II 1冊 978-93-80250-80-9

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価格￥19,172

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（出版社）Hindustan　Book　Agency　（India） Algebraic Geometry II 1冊●著者：Mumford, David/Tadao, Oda●シリーズ名：Texts and Readings in Mathematics●頁数他：516 p.●装丁：Hard●出版社：Hindustan Book Agency (India)●発行日：2015/10/30

Hodge Theory and Complex Algebraic Geometry II: Volume 2【電子書籍】[ Claire Voisin ]

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価格￥6,730

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＜p＞The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard?Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether?Lefschetz theorems, the generic triviality of the Abel?Jacobi maps, and most importantly Nori's connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.＜/p＞画面が切...

An Algebraic Approach to Geometry Geometric Trilogy II【電子書籍】[ Francis Borceux ]

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価格￥17,016

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＜p＞This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level, and it is also an important topic in geometric applications, such as cryptography.＜/p＞＜p＞380 years ago, the work of Fermat and Descartes led us to study geometric problems using coordinates and equations. Today, this is the most popular way of handling geometrical problems. Linear algebra provides an efficient tool for studying all the first degree (lines, planes) and second degree (ellipses, hyperboloids) geometric figures, in the affine, the Euclidean, the Hermitian and the projective contexts. But recent applications of mathematics, like cryptography, need these notions not only in real or complex cases, but also in more general settings, like in spaces constructed on finite fields. And of course, why not also tur...

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