1 citations · 1 across the 4 of their papers we have counts for
7 papers
Neron models and Compactified Picard schemes over the moduli stack of stable curves
Lucia Caporaso
We prove that there exist some stacks, representable over the stack of stable curves, having the following universal property with respect to Néron models of Jacobians. For every o…
Moduli theory and arithmetic of algebraic varieties
Lucia Caporaso
This paper surveys some applications of moduli theory to issues concerning the distribution of rational points on algebraic varieties. It will appear on the proceedings of the Fano…
Combinatorial properties of stable spin curves
Lucia Caporaso, Cinzia Casagrande
The geometry of the moduli space of stable spin curves is studied, with emphasis on its combinatorial properties. In this context, the standard graph theoretic framework is not jus…
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…
On modular properties of odd theta-characteristics
Lucia Caporaso
A general canonical curve X determines a finite set T(X) of hyperplanes, which is in bijective correspondence with the set of odd theta-characteristics of X. The definition of T(X)…
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…