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- Orsola Tommasi
- 2006

We compute the rational cohomology of the moduli space of non-singular complex projective curves of genus 3 with two marked points.

We prove that for N equal to at least one of the integers 8, 12, 16, 20 the tautological ring $R^{\bullet}(\overline {\mathcal {M}}_{2,N})$ is not Gorenstein. In fact, our N equals the smallest… (More)

We show that the Debarre-de Jong conjecture that the Fano scheme of lines on a smooth hypersurface of degree at most n in n-dimensional projective space must have its expected dimension, and the… (More)

In this paper we compute the cohomology groups of the second Voronoi compactification A Vor of the moduli space of abelian fourfolds in all degrees with the exception of the middle degree 10. We also… (More)

In this paper we describe some geometrical properties of the Weierstrass scheme of locally trivial hyperelliptic fibrations.

We show that the cohomology of the perfect cone (also called first Voronoi) toroidal compactification of the moduli space of complex principally polarized abelian varieties stabilizes, in close to… (More)

We prove that the cohomology groups with rational coefficients of the Voronoi compactification of the moduli space of abelian threefolds coincide with the Chow groups of that space, as determined by… (More)

We consider projective varieties with degenerate Gauss image whose focal hypersurfaces are non-reduced schemes. Examples of this situation are provided by the secant varieties of Severi and Scorza… (More)

In this work we study the additive orbifold cohomology of the moduli stack of smooth genus g curves. We show that this problem reduces to investigating the rational cohomology of moduli spaces of… (More)

We present an algorithm for explicitly computing the number of generators of the stable cohomology algebra of any rationally smooth partial toroidal compactification ofA g satisfying certain… (More)