In this paper we give a birational model for the theta divisor of the intermediate Jacobian of a generic cubic threefold X. We use the standard realization of X as a conic bundle and a 4−dimensional family of plane quartics which are totally tangent to the discriminant quintic curve of such a conic bundle structure. The additional data of an even theta characteristic on the curves in the family gives us a model for the theta divisor.
|Titolo:||A new model for the theta divisor of the cubic threefold|
ARTEBANI, MICHELA (Primo)
|Parole Chiave:||theta characteristics; genus 3 curves; Del Pezzo surfaces; theta divisor of intermediate Jacobians|
|Data di pubblicazione:||2003|
|Appare nelle tipologie:||01 - Articolo su periodico|