The p-rank stratification of Artin-Schreier curves

  • Rachel Pries
  • Published 2006


We study a moduli space A S g for Artin-Schreier curves of genus g over an algebraically closed field k of characteristic p. We study the stratification of A S g by p-rank into strata A S g.s of Artin-Schreier curves of genus g with p-rank exactly s. We enumerate the irreducible components of A S g,s and find their dimensions. As an application, when p = 2… (More)


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