9788185931869, Abelian Varieties (Tata Institute of Fundamental Research), David Mumford (Author), Amer Mathematical Society, Hardcover, English, Worldwide
Delve into the profound world of algebraic geometry with David Mumford’s seminal work, “Abelian Varieties.” This reprinted revised second edition offers a systematic exploration of abelian varieties, blending analytic methods over complex fields with scheme-theoretic approaches for positive characteristic fields. Mumford’s lucid exposition includes a self-contained proof of the dual abelian variety’s existence and an in-depth discussion on the structure of endomorphism rings. Enhanced by appendices from esteemed mathematicians C.P. Ramanujam and Yuri Manin, this volume stands as an indispensable reference for both students and researchers. Elevate your understanding of algebraic geometry by adding this classic to your collection today.
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About The Author
David Mumford is a renowned mathematician and a leading figure in the field of algebraic geometry. He is best known for his foundational work on abelian varieties, algebraic surfaces, and modern approaches to mathematical concepts. Mumford has received several prestigious awards, including the Fields Medal in 1974. His contributions to mathematics extend beyond research, having authored influential textbooks. Mumford is also recognized for his academic teaching and mentorship. He has been a professor at various esteemed institutions, including Harvard University.
Table Of Contents
- Introduction
- Analytic Theory
- Algebraic Theory via Varieties
- Algebraic Theory via Schemes
- Hom(X, X) and l-adic Representations
- Appendix I: The Theorem of Tate
- Appendix II: Mordell-Weil Theorem
Product Details
- Publisher : Amer Mathematical Society (August 15, 2008)
- Language : English
- Hardcover : 263 pages
- ISBN-13 : 978-8185931869
- Item Weight : 0.612 Kg
- Dimensions : 16.51 x 1.91 x 24.13 cm
About The Book
Delve into the profound world of algebraic geometry with David Mumford’s seminal work, “Abelian Varieties.” This reprinted revised second edition offers a systematic exploration of abelian varieties, blending analytic methods over complex fields with scheme-theoretic approaches for positive characteristic fields. Mumford’s lucid exposition includes a self-contained proof of the dual abelian variety’s existence and an in-depth discussion on the structure of endomorphism rings. Enhanced by appendices from esteemed mathematicians C.P. Ramanujam and Yuri Manin, this volume stands as an indispensable reference for both students and researchers. Elevate your understanding of algebraic geometry by adding this classic to your collection today.
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