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math.AG2002
Curves of genus g on an abelian variety of dimension g
Herbert Lange, Edoardo Sernesi
In this paper we prove a general theorem concerning the number of translation classes of curves of genus belonging to a fixed cohomology class in a polarized abelian variety of…
math.AG2002
Characterizing Curves by their odd Theta-characteristics
Lucia Caporaso, Edoardo Sernesi
We show that a general canonical curve is uniquely determined by the finite set of hyperplanes cutting theta-characteristics on it. Geometrical and combinatorial properties of the…