Read Complex Abelian Varieties and Theta Functions (Universitext)

Complex Abelian Varieties and Theta Functions (Universitext)

George R. Kempf

4.9/5 (14196 ratings)

Description:Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Complex Abelian Varieties and Theta Functions (Universitext). To get started finding Complex Abelian Varieties and Theta Functions (Universitext), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: 550

Format: PDF, EPUB & Kindle Edition

Publisher: N/A

Release: 1991

ISBN: 3642760791

Description: Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Complex Abelian Varieties and Theta Functions (Universitext). To get started finding Complex Abelian Varieties and Theta Functions (Universitext), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Complex Abelian Varieties and Theta Functions (Universitext)

Complex Abelian Varieties and Theta Functions (Universitext)

More Books

Twisted: Tales of Terror (The Midnight Library)

Twisted: Tales of Terror (The Midnight Library)

Getting Back in the Race: The Cure for Backsliding

Getting Back in the Race: The Cure for Backsliding

The Carnivorous Carnival (A Series of Unfortunate Events, #9)

The Carnivorous Carnival (A Series of Unfortunate Events, #9)

Codex Obscura: Conspiracy Theory Encyclopedia — An Illustrated Guide to 500+ Theories: From Epstein and UFOs to Ancient Mysteries

Codex Obscura: Conspiracy Theory Encyclopedia — An Illustrated Guide to 500+ Theories: From Epstein and UFOs to Ancient Mysteries

On Murder, Mourning and Melancholia (Modern Classics Translated)

On Murder, Mourning and Melancholia (Modern Classics Translated)

African Fiction and Quest for a Viable Leadership: A Critical Appraisal of Uche Mowah's Eating by the Flesh and Chinua Achebe's Anthills of the Savannah

African Fiction and Quest for a Viable Leadership: A Critical Appraisal of Uche Mowah's Eating by the Flesh and Chinua Achebe's Anthills of the Savannah

Forceful God (Kings Of Mafia)

Forceful God (Kings Of Mafia)

Summary Of the 48 Laws of Power by Robert Greene

Summary Of the 48 Laws of Power by Robert Greene

Fenbendazole and Ivermectin Combination: Mechanisms, Risks, and Current Studies in Cancer Management, Including Joe Tippens Protocols

Fenbendazole and Ivermectin Combination: Mechanisms, Risks, and Current Studies in Cancer Management, Including Joe Tippens Protocols