4 papers
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…
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…
Severi varieties and branch curves of abelian surfaces of type (1,3)
H. Lange, E. Sernesi
Let (A,L) be a principally polarized abelian surface of type (1,3). The linear system |L| defines a 6:1 covering of A onto P2, branched along a curve B of degree 18 in P2. The main…
Recovering plane curves from their bitangents
Lucia Caporaso, Edoardo Sernesi
We show that a general plane curve of degree at least 4 is uniquely determined by the full set of its bitangent lines. This problem has an elementary solution for degree at least 5…