Several Complex Variables with Connections to Algebraic Geometry and Lie Groups (Graduate Studies in Mathematics, V. 46)
Joseph Taylor
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Description for Several Complex Variables with Connections to Algebraic Geometry and Lie Groups (Graduate Studies in Mathematics, V. 46)
Hardcover. Presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. This text includes a treatment of the local theory. Series: Graduate Studies in Mathematics. Num Pages: 528 pages, bibliography, index. BIC Classification: PBKF; PBMW; PBPD. Category: (P) Professional & Vocational. Dimension: 230. Weight in Grams: 1128.
This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The ... Read more
This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The ... Read more
Product Details
Format
Hardback
Publication date
2002
Publisher
Amer Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
507
Place of Publication
Providence, United States
ISBN
9780821831786
SKU
V9780821831786
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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