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20012024
most citedThe Gorenstein conjecture fails for the tautological ring of

34 citations · 79 across the 17 of their papers we have counts for

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19 papers

math.AG2024

Multiplicative Chow-Künneth decomposition and homology splitting of configuration spaces

Dan Petersen, Orsola Tommasi

We construct a splitting of the cohomology of configuration spaces of points on a smooth proper variety with a multiplicative Chow--Künneth decomposition. Applied to hyperelliptic…

math.AG2023★ 1 cited

Stability conditions for line bundles on nodal curves

Nicola Pagani, Orsola Tommasi

We introduce the abstract notion of a \emph{smoothable fine compactified Jacobian} of a nodal curve, and of a family of nodal curves whose general element is smooth. Then we introd…

math.AG2020

Geometry of genus one fine compactified universal Jacobians

Nicola Pagani, Orsola Tommasi

We introduce a general abstract notion of fine compactified Jacobian for nodal curves of arbitrary genus. We focus on genus 1 and prove combinatorial classification results for fin…

math.AG2017

The topology of and its compactifications

Klaus Hulek, Orsola Tommasi

We survey old and new results about the cohomology of the moduli space of principally polarized abelian varieties of genus and its compactifications. The main emphasis li…

math.AG2017

Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties

Samuel Grushevsky, Klaus Hulek, Orsola Tommasi

We present an algorithm for explicitly computing the number of generators of the stable cohomology algebra of any rationally smooth partial toroidal compactification of ${\mathcal…

math.AG2013

Stable cohomology of spaces of non-singular hypersurfaces

Orsola Tommasi

We prove that the rational cohomology of the space of non-singular complex homogeneous polynomials of degree d in a fixed number of variables stabilizes to the cohomology of the ge…