Moduli of Abelian Varieties

Allan Adler, Sundararaman Ramanan (Autoren)

Buch | Softcover

VI, 202 Seiten

1996
Springer Berlin (Verlag)
978-3-540-62023-5 (ISBN)

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This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It shows through striking examples how one can use these apparently intractable systems of equations to obtain satisfying insights into the geometry and arithmetic of these varieties. It also introduces the reader to some aspects of the research of the first author into representation theory and invariant theory and their applications to these geometrical questions.

Standard Heisenberg Groups.- Heisenberg groups of line bundles on abelian varieties.- Theta structures and the addition formula.- Geometry and arithmetic of the fundamental relations.- Invariant theory, arithmetic and vector bundles.

Erscheint lt. Verlag	16.12.1996
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VI, 202 p.
Verlagsort	Berlin
Sprache	englisch
Maße	216 x 279 mm
Gewicht	322 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	abelian variety • Algebra • Invariant theory • modular curve • moduli space
ISBN-10	3-540-62023-0 / 3540620230
ISBN-13	978-3-540-62023-5 / 9783540620235
Zustand	Neuware