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29 March 2024
 
  » arxiv » math.AG/0506550

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Linear relations among holomorphic quadratic differentials and induced Siegel's metric on M_g
Marco Matone ; Roberto Volpato ;
Date 27 Jun 2005
Subject Algebraic Geometry | math.AG hep-th
AbstractWe derive the (g-2)(g-3)/2 linearly independent relations among the products of pairs in a basis of holomorphic abelian differentials in the case of compact non-hyperelliptic Riemann surfaces of genus greater then 3. By the Kodaira-Spencer map this leads to the modular invariant metric on the moduli space induced by the Siegel metric.
Source arXiv, math.AG/0506550
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