6533b837fe1ef96bd12a2940

RESEARCH PRODUCT

On the birational geometry of the universal Picard variety

Gilberto BiniClaudio FontanariFilippo Viviani

subject

Pure mathematics14H10Degree (graph theory)General MathematicsBirational geometryMathematics - Algebraic GeometryMathematics::Algebraic GeometryGenus (mathematics)Line (geometry)FOS: MathematicsKodaira dimensionpicard variety birational geometrySettore MAT/03 - GeometriaVariety (universal algebra)Algebraic Geometry (math.AG)Mathematics

description

We compute the Kodaira dimension of the universal Picard variety P_{d,g} parameterizing line bundles of degree d on curves of genus g under the assumption that (d-g+1,2g-2)=1. We also give partial results for arbitrary degrees d and we investigate for which degrees the universal Picard varieties are birational.

yearjournalcountryeditionlanguage
2010-06-03
10.1093/imrn/rnr045https://hdl.handle.net/11590/120146