14 citations · 16 across the 6 of their papers we have counts for
9 papers
Mordell-Weil Groups of Linear Systems and the Hitchin Fibration
Matthew Woolf
In this paper, we study rational sections of the relative Picard scheme of a linear system on a smooth projective variety. We prove that if the linear system is basepoint-free and…
Rational curves on complete intersections in positive characteristic
Eric Riedl, Matthew Woolf
We study properties of rational curves on complete intersections in positive characteristic. It has long been known that in characteristic 0, smooth Calabi-Yau and general type var…
Ulrich Schur bundles on flag varieties
Izzet Coskun, Laura Costa, Jack Huizenga +2
In this paper, we study equivariant vector bundles on partial flag varieties arising from Schur functors. We show that a partial flag variety with three or more steps does not admi…
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…
Equivariant Ulrich bundles on flag varieties
Izzet Coskun, Jack Huizenga, Matthew Woolf
In this paper, we study equivariant vector bundles on partial flag varieties arising from Schur functors. We show that a partial flag variety with three or more steps does not admi…
Cohomology of Moduli of Representations of Monomial Algebras
Matthew Woolf
In this paper, we study moduli spaces of representations of certain quivers with relations. For quivers without relations and other categories of homological dimension one, a lot o…