14 citations · 17 across the 6 of their papers we have counts for
7 papers
phenomena on abelian varieties
Barbara Bolognese, Alex Küronya, Martin Ulirsch
Let be a complex abelian variety. We prove an analogue of both the (cohomological) conjecture and the geometric conjecture connecting the finer topological structur…
Fullness of exceptional collections via stability conditions -- A case study: the quadric threefold
Barbara Bolognese, Domenico Fiorenza
A powerful tool of investigation of Fano varieties is provided by exceptional collections in their derived categories. Proving the fullness of such a collection is generally a nont…
A local compactification of the Bridgeland stability manifold
Barbara Bolognese
Bridgeland stability manifolds of Calabi-Yau categories are of noticeable interest both in mathematics and in physics. By looking at some of the known example, a pattern clearly em…
From Curves to Tropical Jacobians and Back
Barbara Bolognese, Madeline Brandt, Lynn Chua
Given a curve defined over an algebraically closed field which is complete with respect to a nontrivial valuation, we study its tropical Jacobian. This is done by first tropicalizi…
Equations and tropicalization of Enriques surfaces
Barbara Bolognese, Corey Harris, Joachim Jelisiejew
In this article we explicitly compute equations of an Enriques surface via the involution on a K3 surface. We also discuss its tropicalization and compute the tropical homology, th…
Nef cones of Hilbert schemes of points on surfaces
Barbara Bolognese, Jack Huizenga, Yinbang Lin +4
Let X be a smooth projective surface of irregularity 0. The Hilbert scheme of n points on X parameterizes zero-dimensional subschemes of X of length n. In this paper, we discuss ge…
Regulating Hartshorne's connectedness theorem
Bruno Benedetti, Barbara Bolognese, Matteo Varbaro
A classical theorem by Hartshorne states that the dual graph of any arithmetically Cohen--Macaulay projective scheme is connected. We give a quantitative version of Hartshorne's re…