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pro vyhledávání: '"Ullery, Brooke"'
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 of these hypersurfaces factor through rational fibrations of the ambien
Externí odkaz:
http://arxiv.org/abs/2304.09963
Autor:
Levinson, Jake, Ullery, Brooke
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 satisfying the Cayley-Bacharach condition, we force them to lie on uni
Externí odkaz:
http://arxiv.org/abs/2102.08525
Autor:
Stapleton, David, Ullery, Brooke
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 projective space, cubic threefolds, cubic fourfolds, and complete interse
Externí odkaz:
http://arxiv.org/abs/1803.02957
The purpose of this paper is to show that for a complete intersection curve $C$ in projective space (other than a few stated exceptions), any morphism $f: C \to \mathbb{P}^r$ satisfying $\text{deg}\, f^*\mathcal{O}_{\mathbb{P}^r}(1) <\text{deg}\, C$
Externí odkaz:
http://arxiv.org/abs/1706.08169
Publikováno v:
Compositio Math. 153 (2017) 2368-2393
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 projective space, and the minimal gonality of a covering family of curves.
Externí odkaz:
http://arxiv.org/abs/1511.01359
Autor:
Ullery, Brooke
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 secant variety to a general canonical curve of genus at least 7 is normal.<
Externí odkaz:
http://arxiv.org/abs/1408.0865
Autor:
Ullery, Brooke
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 have the property that the Castelnuovo-Mumford regularity is revealed
Externí odkaz:
http://arxiv.org/abs/1305.5966
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