22 citations · 48 across the 12 of their papers we have counts for
12 papers
Residual Intersections and Schubert Varieties
Sara Angela Filippini, Xianglong Ni, Jacinta Torres +1
Inspired by the work of Ulrich and Huneke-Ulrich, we describe a pattern to show that the ideals of certain opposite embedded Schubert varieties defined by this pattern arise by tak…
Scattering diagrams and Jeffrey-Kirwan residues
Sara Angela Filippini, Jacopo Stoppa
We show that the consistent completion of an initial scattering diagram in (for a finite rank lattice ) can be expressed quite generally in terms of the Jeffrey…
Mapping free resolutions of length three II -- Module formats
Sara Angela Filippini, Lorenzo Guerrieri
Let be a perfect module of projective dimension 3 in a Gorenstein, local or graded ring . We denote by $\FF$ the minimal free resolution of . Using the generic ring assoc…
Minuscule Schubert Varieties of Exceptional Type
Sara Angela Filippini, Jacinta Torres, Jerzy Weyman
We study exceptional minuscule Schubert varieties and provide the defining equations of the defining ideals of their intersection with the big open cell. We also provide the resolu…
Orbital degeneracy loci II: Gorenstein orbits
Vladimiro Benedetti, Sara Filippini, Laurent Manivel +1
In [BFMT17] we introduced orbital degeneracy loci as generalizations of degeneracy loci of morphisms between vector bundles. Orbital degeneracy loci can be constructed from any sta…
Orbital degeneracy loci and applications
Vladimiro Benedetti, Sara Angela Filippini, Laurent Manivel +1
Degeneracy loci of morphisms between vector bundles have been used in a wide variety of situations. We introduce a vast generalization of this notion, based on orbit closures of al…
An Introduction to Hodge Structures
Sara Angela Filippini, Helge Ruddat, Alan Thompson
We begin by introducing the concept of a Hodge structure and give some of its basic properties, including the Hodge and Lefschetz decompositions. We then define the period map, whi…
Stability data, irregular connections and tropical curves
Sara Angela Filippini, Mario Garcia-Fernandez, Jacopo Stoppa
We study a class of meromorphic connections on , parametrised by the central charge of a stability condition, with values in a Lie algebra of formal v…
TBA type equations and tropical curves
Sara Angela Filippini, Jacopo Stoppa
We revisit the wall-crossing behaviour of solutions to the Thermodynamic Bethe Ansatz type equations arising in a class of three-dimensional field theories, expressed as sums of "i…
Block-Göttsche invariants from wall-crossing
Sara Angela Filippini, Jacopo Stoppa
We show how some of the refined tropical counts of Block and Göttsche emerge from the wall-crossing formalism. This leads naturally to a definition of a class of putative q-deforme…
The E^3/Z3 orbifold, mirror symmetry, and Hodge structures of Calabi-Yau type
Sergio Luigi Cacciatori, Sara Angela Filippini
Starting from the Kähler moduli space of the rigid orbifold Z=E^3/\mathbb{Z}_3 one would expect for the cohomology of the generalized mirror to be a Hodge structure of Calabi-Yau t…
A rigid Calabi--Yau 3-fold
Sara Angela Filippini, Alice Garbagnati
The aim of this paper is to analyze some geometric properties of the rigid Calabi--Yau threefold obtained by a quotient of , where is a specific elliptic cur…