38 citations · 38 across the 3 of their papers we have counts for
8 papers
Secants, Socles and Stability
Aaron Bertram, Brooke Ullery
The projective space of symmetric tensors of degree d can be reinterpreted as a projective space of finite, graded Gorenstein rings with socle in degree d. Via a pair of explicit s…
Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors
Jake Levinson, David Stapleton, Brooke Ullery
In this paper we study the degrees of irrationality of hypersurfaces of large degree in a complex projective variety. We show that the maps computing the degrees of irrationality o…
A Cayley-Bacharach theorem and plane configurations
Jake Levinson, Brooke Ullery
In this paper, we examine linear conditions on finite sets of points in projective space implied by the Cayley-Bacharach condition. In particular, by bounding the number of points…
The degree of irrationality of hypersurfaces in various Fano varieties
David Stapleton, Brooke Ullery
The purpose of this paper is to compute the degree of irrationality of hypersurfaces of sufficiently high degree in various Fano varieties: quadrics, Grassmannians, products of pro…
The gonality of complete intersection curves
James Hotchkiss, Chung Ching Lau, Brooke Ullery
The purpose of this paper is to show that for a complete intersection curve in projective space (other than a few stated exceptions), any morphism satis…
Measures of irrationality for hypersurfaces of large degree
Francesco Bastianelli, Pietro De Poi, Lawrence Ein +2
We study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of proje…
On the normality of secant varieties
Brooke Ullery
In this paper, we show that the secant variety to a smooth projective variety embedded by a sufficiently positive line bundle is normal. As an application, we deduce that the secan…
Designer ideals with high Castelnuovo-Mumford regularity
Brooke Ullery
The purpose of this paper is to give a simple geometric construction of ideals whose Castelnuovo-Mumford regularity is large compared to the generating degree. Moreover, our ideals…