Gorenstein curve singularities of genus three

Abstract

We classify the analytic germs of isolated Gorenstein curve singularities of genus three, and relate them to the connected components of strata of abelian differentials.

20 pages + references. Minor corrections. Comments still welcome

References in corpus (10)

• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• The intrinsic normal cone
• Compactification of strata of abelian differentials
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• Moduli of stable maps in genus one and logarithmic geometry II
• Any smooth plane quartic can be reconstructed from its bitangents
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Cited by in corpus (1)

• Hyperelliptic Gorenstein curves and logarithmic differentials