Skorobogatov, Alexei N., Colliot-Thelene, Jean-Louis  | Springer

237,230원  | 20210831  | 9783030742478

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry.

 | Amer Mathematical Society

197,000원  | 20031201  | 9780821834244

Contains contains a large part of the mathematical correspondence between A Grothendieck and J P Serre. This book presents an introduction to the development of algebraic geometry during the years 1955-1965. It is suitable for specialists in algebraic geometry, and mathematical historians.

Conrad, Brian David  | Springer

0원  | 20001201  | 9783540411345

Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory.

Lipman, Joseph; Hash  | Springer Verlag

145,980원  | 20210101  | 9783540854197

The first part by Joseph Lipman is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among the derived functors, for unbounded complexes over ringed spaces, of the sheaf functors tensor, hom, direct and inverse image.

Hazrat, Roozbeh  | Cambridge University Press

138,700원  | 20170417  | 9781316619582

This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra, and brings together results scattered across the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.

Pierre Cartier , Luc Illusie , Nicholas M. Katz ,  | Birkhauser

237,230원  | 20210101  | 9780817645687

This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject.

Pierre Cartier , Luc Illusie , Nicholas M. Katz ,  | Birkhauser

237,230원  | 20210101  | 9780817645670

This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject.

Pierre Cartier , Luc Illusie , Nicholas M. Katz ,  | Birkhauser

237,230원  | 20210101  | 9780817645663

This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject.

 | Springer

310,230원  | 20211011  | 9783030517977

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

Diestel, Joe/ Fourie, Jan H./ Swart, Johan  | Amer Mathematical Society

137,670원  | 20210101  | 9780821844403

Offers details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. This book shows how the classical Banach spaces ($C(K)$'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed.

Fantechi, Barbara  | Amer. Mathematical Society

232,200원  | 20061012  | 9780821842454

Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.