0000000000746730

AUTHOR

Claudio Fontanari

showing 2 related works from this author

On the Rational Cohomology of Moduli Spaces of Curves with Level Structures

2009

We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine $H^k(\sgbar, \Q)$ for $g \ge 2$ and $k \le 3$, where $\sgbar$ denotes the moduli space of spin curves of genus $g$.

Pure mathematics14H10Degree (graph theory)Hyperbolic geometryMathematical analysisAlgebraic geometryModuli spaceCohomologyModuli spaceModuli of algebraic curvesMathematics - Algebraic GeometryMathematics::Algebraic GeometryDifferential geometrySpin curveGenus (mathematics)FOS: MathematicsGeometry and TopologySettore MAT/03 - GeometriaAlgebraic Geometry (math.AG)Teichmuller modular groupMathematics
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On the birational geometry of the universal Picard variety

2010

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.

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
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