17 citations · 87 across the 12 of their papers we have counts for
16 papers
Extending Andreotti's proof of Torelli's theorem to nodal curves
Alex Abreu, Marco Pacini, Nicola Pagani
Let be a connected nodal curve of genus over an algebraically closed field of characteristic zero. Let \[ A(C)=\Big(J(C), {\overline{P^{g-1}_C}}, Θ(C) \Big) \] be the s…
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…
Wall-crossing of universal Brill-Noether classes
Alex Abreu, Nicola Pagani
We give an explicit graph formula, in terms of decorated boundary strata classes, for the wall-crossing of universal Brill-Noether classes. More precisely, fix n>0 and d<g , and tw…
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…
Pullbacks of universal Brill-Noether classes via Abel-Jacobi morphisms
Nicola Pagani, Andrea T. Ricolfi, Jason van Zelm
Following Mumford and Chiodo, we compute the Chern character of the derived pushforward , for an arbitrary element…
Extending the Double Ramification Cycle using Jacobians
David Holmes, Jesse Leo Kass, Nicola Pagani
We prove that the extension of the double ramification cycle defined by the first-named author (using modifications of the stack of stable curves) coincides with that defined by th…
The stability space of compactified universal Jacobians
Jesse Leo Kass, Nicola Pagani
In this paper we describe compactified universal Jacobians, i.e. compactifications of the moduli space of line bundles on smooth curves obtained as moduli spaces of rank 1 torsion-…
Extensions of the universal theta divisor
Jesse Leo Kass, Nicola Pagani
The Jacobian varieties of smooth curves fit together to form a family, the universal Jacobian, over the moduli space of smooth marked curves, and the theta divisors of these curves…
Moduli of abelian covers of elliptic curves
Nicola Pagani
For any finite abelian group G, we study the moduli space of abelian -covers of elliptic curves, in particular identifying the irreducible components of the moduli space. We pro…
Harer stability and orbifold cohomology
Nicola Pagani
In this paper we review the combinatorics of the twisted sectors of , and we exhibit a formula for the age of each of them in terms of the combinatorial data. Th…
The class of the bielliptic locus in genus 3
Carel Faber, Nicola Pagani
Let the bielliptic locus be the closure in the moduli space of stable curves of the locus of smooth curves that are double covers of genus 1 curves. In this paper we compute the cl…
The orbifold cohomology of moduli of genus 3 curves
Nicola Pagani, Orsola Tommasi
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 m…
Generating stable modular graphs
Stefano Maggiolo, Nicola Pagani
We present the program Boundary, whose source files are available at http://people.sissa.it/~maggiolo/boundary/. Given two natural numbers g and n satisfying 2g+n-2>0, the program…
The orbifold cohomology of moduli of hyperelliptic curves
Nicola Pagani
We study the inertia stack of [M_{0,n}/S_n], the quotient stack of the moduli space of smooth genus 0 curves with n marked points via the action of the symmetric group S_n. Then we…
The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
Nicola Pagani
In this work we describe the Chen-Ruan cohomology of the moduli stacks of smooth and stable genus 2 pointed curves, and its algebraic counterpart: the stringy Chow ring. In the fir…
Chen-Ruan cohomology of M_{1,n} and \bar{M}_{1,n}
Nicola Pagani
In this work we compute the Chen--Ruan cohomology and the stringy Chow ring of the moduli spaces of smooth and stable -pointed curves of genus 1. We suggest a definition for an…