Abelian Varieties, Theta Functions and the Fourier Transform Export

@book{citeulike:4951105, abstract = {This book is a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. Alexander Polishchuk starts by discussing the classical theory of theta functions from the viewpoint of the representation theory of the Heisenberg group (in which the usual Fourier transform plays the prominent role). He then shows that in the algebraic approach to this theory (originally due to Mumford) the Fourier-Mukai transform can often be used to simplify the existing proofs or to provide completely new proofs of many important theorems. This incisive volume is for graduate students and researchers with strong interest in algebraic geometry.}, author = {Polishchuk, Alexander}, citeulike-article-id = {4951105}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0521808049}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0521808049}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0521808049}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0521808049}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0521808049/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0521808049}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0521808049}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0521808049}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0521808049&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0521808049}, day = {15}, edition = {1st}, howpublished = {Hardcover}, isbn = {0521808049}, keywords = {abelian\_varieties, fourier\_analysis, theta\_functions}, month = {November}, posted-at = {2009-06-25 06:06:04}, priority = {2}, publisher = {Cambridge University Press}, title = {Abelian Varieties, Theta Functions and the Fourier Transform}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0521808049}, year = {2002} }

TY - BOOK ID - citeulike:4951105 L3 - citeulike-article-id:4951105 N2 - This book is a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. Alexander Polishchuk starts by discussing the classical theory of theta functions from the viewpoint of the representation theory of the Heisenberg group (in which the usual Fourier transform plays the prominent role). He then shows that in the algebraic approach to this theory (originally due to Mumford) the Fourier-Mukai transform can often be used to simplify the existing proofs or to provide completely new proofs of many important theorems. This incisive volume is for graduate students and researchers with strong interest in algebraic geometry. SN - 0521808049 TI - Abelian Varieties, Theta Functions and the Fourier Transform PB - Cambridge University Press KW - abelian_varieties KW - fourier_analysis KW - theta_functions AU - Polishchuk, Alexander PY - 2002/11/15/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0521808049 ER -