Items related to Complex Abelian Varieties and Theta Functions (Universitext)
Synopsis
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.
"synopsis" may belong to another edition of this title.
Product Description
George R. Kemf. ix, 100 p. Good condition, previous owners name inside front cover.
Synopsis
Abelian varieties are a natural generalization of elliptic curves to higher dimensions, and additionally play a significant role in the geometric approach to modern algebraic number theory. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves. In this book, the author has focused on the analytical 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 the author'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.
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Complex Abelian Varieties and Theta Functions (Universitext)
Stock Image
Complex Abelian Varieties and Theta Functions
Published by
Springer Berlin Heidelberg, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
Used
Softcover
Seller: Buchpark, Trebbin, Germany
Seller rating 5 out of 5 stars
Condition: Gut. Zustand: Gut | Seiten: 120 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 22641912/203
Quantity: 1 available
Stock Image
Complex Abelian Varieties and Theta Functions
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
PF. Condition: New. Seller Inventory # 6666-IUK-9783540531685
Quantity: 10 available
Stock Image
Complex Abelian Varieties and Theta Functions (Universitext)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783540531685_new
Quantity: Over 20 available
Seller Image
Complex Abelian Varieties and Theta Functions
Published by
Springer Berlin Heidelberg, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
New
Kartoniert / Broschiert
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 . Seller Inventory # 4892670
Quantity: Over 20 available
Seller Image
Complex Abelian Varieties and Theta Functions
Published by
Springer Berlin Heidelberg, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540531685
Quantity: 1 available
Seller Image
Complex Abelian Varieties and Theta Functions
Published by
Springer Berlin Heidelberg Apr 1991, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 120 pp. Englisch. Seller Inventory # 9783540531685
Quantity: 2 available
Stock Image
Complex Abelian Varieties and Theta Functions (Universitext)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9783540531685
Quantity: Over 20 available
Seller Image
Complex Abelian Varieties and Theta Functions
Published by
Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1991, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 120 pp. Englisch. Seller Inventory # 9783540531685
Quantity: 1 available
Stock Image
Complex Abelian Varieties and Theta Functions
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 100. Seller Inventory # 262293683
Quantity: 4 available
Stock Image
Complex Abelian Varieties and Theta Functions
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Print on Demand pp. 100. Seller Inventory # 5587052
Quantity: 4 available