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The non-existence of stable Schottky forms

Part of: Deformations of analytic structures Abelian varieties and schemes Curves

Published online by Cambridge University Press:  10 March 2014

G. Codogni  and
N. I. Shepherd-Barron
G. Codogni
Affiliation:
DPMMS, University of Cambridge, Cambridge CB3 0WB, UK email g.codogni@dpmms.cam.ac.uk
N. I. Shepherd-Barron
Affiliation:
Department of Mathematics, King’s College London, Strand, London WC2R 2LS, UK email nisb@dpmms.cam.ac.uk
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Abstract

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We show that there is no stable Siegel modular form that vanishes on every moduli space of curves.

Keywords

curveabelian varietymoduliSchottky problem

MSC classification

Secondary: 14H40: Jacobians, Prym varieties 14H42: Theta functions; Schottky problem 14K25: Theta functions 32G20: Period matrices, variation of Hodge structure; degenerations
Type
Research Article
Information
Compositio Mathematica , Volume 150 , Issue 4 , April 2014 , pp. 679 - 690
Copyright
© The Author(s) 2014 

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