Algebraic Geometry III : Complex Algebraic Varieties Algebraic Curves and Their Jacobians
Softcover reprint of the original 1st ed. 1998
Book Details
Format
Paperback / Softback
Book Series
Encyclopaedia of Mathematical Sciences
ISBN-10
3642081185
ISBN-13
9783642081187
Edition
Softcover reprint of the original 1st ed. 1998
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture
DE
Country of Publication
GB
Publication Date
Dec 1st, 2010
Print length
270 Pages
Weight
448 grams
Dimensions
15.50 x 23.30 x 2.10 cms
Ksh 21,600.00
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The value of Aw is determined up to mv + nv , where v and v are complex numbers, and m and n are 1 2 1 2 integers. The set of linear combinations mv+ nv forms a lattice H C C, and 1 2 so to each elliptic integral Aw we can associate the torus C/ H. 2 On the other hand, equation (1) defines a curve in the affine plane C = 2 2 {(z,w)}.
This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.
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