1,720,977 research outputs found
On the geometry of S2
No full textWe investigate topological properties of the moduli space of spin structures over genus two curves. In particular, we provide a combinatorial description of this space and give a presentation of the (rational) cohomology ring via generators and relations
Linear systems on weak del Pezzo surfaces
No full textWe investigate the gonality and the Clifford index of smooth curves on weak Del Pezzo surfaces by following the lines of [12]
A remark on the cohomology of S_1,n
No full textWe focus on the rational cohomology of Cornalba’s moduli space of spin curves of genus 1 withn marked points. In particular, we show that both its first and its third cohomology group vanish and the second cohomology group is generated by boundary classes
Moduli of Curves and Spin Structures via Algebraic Geometry
No full textHere we investigate some birational properties of two collections of moduli spaces, namely moduli spaces of (pointed) stable curves and of (pointed) spin curves. In particular, we focus on vanishings of Hodge numbers of type (p,0) and on computations of the Kodaira dimension. Our methods are purely algebro-geometric and rely on an induction argument on the number of the points and the genus of the curves
Singular curves on K3 surfaces
No full textWe investigate the Clifford index of singular curves on K3 surfaces by following the lines of [10]. As a consequence, we are able to deduce from [3] that Green’s conjecture holds for all integral curves on K3 surfaces
On the Rational Cohomology of Moduli Spaces of Curves with Level Structures
Full text linkWe 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
On the birational geometry of the universal Picard variety
No full textWe 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
- …
