Complex Abelian Varieties by Christina Birkenhake

By Christina Birkenhake

This ebook explores the speculation of abelian types over the sphere of complicated numbers, explaining either vintage and up to date ends up in glossy language. the second one variation provides 5 chapters on contemporary effects together with automorphisms and vector bundles on abelian forms, algebraic cycles and the Hodge conjecture. ". . . way more readable than so much . . . it's also even more complete." Olivier Debarre in Mathematical experiences, 1994.

Show description

Read Online or Download Complex Abelian Varieties PDF

Best algebraic geometry books

Algebraic geometry III. Complex algebraic varieties. Algebraic curves and their Jacobians

The 1st contribution of this EMS quantity on complicated algebraic geometry touches upon some of the crucial difficulties during this great and intensely energetic region of present examine. whereas it truly is a lot too brief to supply entire insurance of this topic, it offers a succinct precis of the components it covers, whereas offering in-depth assurance of yes vitally important fields.

Arithmetic of elliptic curves with complex multiplication

Delinquent acts by way of young children and teenagers are at the upward push – from verbal abuse to actual bullying to cyber-threats to guns in colleges. Strictly punitive responses to competitive behaviour may also increase a scenario, leaving friends, mom and dad, and lecturers feeling helpless. This exact quantity conceptualizes aggression as a symptom of underlying behavioural and emotional difficulties and examines the psychology of perpetrators and the ability dynamics that foster deliberately hurtful behaviour in adolescents.

Coordinate Geometry

This textbook explores the configurations of issues, traces, and planes in area outlined geometrically, interprets them into algebraic shape utilizing the coordinates of a consultant element of the locus, and derives the equations of the conic sections. The Dover variation is an unabridged republication of the paintings initially released through Ginn and corporate in 1939.

Birational Algebraic Geometry: A Conference on Algebraic Geometry in Memory of Wei-Liang Chow

This ebook provides court cases from the Japan-U. S. arithmetic Institute (JAMI) convention on Birational Algebraic Geometry in reminiscence of Wei-Liang Chow, held on the Johns Hopkins college in Baltimore in April 1996. those complaints convey to gentle the numerous instructions during which birational algebraic geometry is headed.

Extra info for Complex Abelian Varieties

Sample text

2 that this definition coincides with the classical notion of characteristics. Note that a characteristic is only defined for nondegenerate line bundles and determined only up to translations by elements of A(L). Note also that 0 is a characteristic of Lo. 3. As a first application of the notion of characteristics, we extend it to a function V x V ---------+ ~*, also denoted by aL. This will turn out to be very useful for later computations in particular for the theory of Chapter 6. Suppose L = L(H, X) is a nondegenerate line bundle on X and c is a characteristic for L with respect to the decomposition V = VI EB V2.

J-L E A. Hence the imaginary part 1m g: A --+ IR is a homomorphism extending IR-linearly to a function V --+ IR, denoted by the same symbol. Define a C-linear form l: V --+ C by v f-+ Img(iv) + ilmg(v) . )) 32 Chapter 2. Line Bundles on Complex Tori is a co cycle in Zl(A,Ho(Oy)) equivalent to f. Moreover XL does not depend on v and takes values in

Jk,7r;I) and for all i, j, k E I. 2. ). ). An immediate D computation gives a

Download PDF sample

Rated 4.01 of 5 – based on 30 votes