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20202022
most citedThe geometry of Hilbert schemes of two points on projective space

1 citations · 3 across the 6 of their papers we have counts for

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math.AG20221 cited

Maximal skew sets of lines on a Hermitian surface and a modified Bron-Kerbosch algorithm

Anna Brosowsky, Haoyu Du, Madhav Krishna +3

In this paper, we study maximal sets of skew lines on Hermitian surfaces. We give a new algorithm to compute these sets and give some computational results for Hermitian surfaces o…

math.AG20211 cited

Geometry of Smooth Extremal Surfaces

Anna Brosowsky, Janet Page, Tim Ryan +1

We study the geometry of the smooth projective surfaces that are defined by Frobenius forms, a class of homogenous polynomials in prime characteristic recently shown to have minima…

math.AG2021

Minimal free resolutions of sheaves on the projective plane and the stable base locus decomposition of their moduli spaces

Manuel Leal, César Lozano Huerta, Tim Ryan

The purpose of this paper is to incorporate minimal free resolutions into the study of the birational geometry of the moduli space of coherent sheaves on the plane with character $…

math.AG2021

Irreducibility and singularities of some nested Hilbert schemes

Tim Ryan, Gregory Taylor

Let be a smooth projective surface over . We study the local and global geometry of the nested Hilbert scheme of points . In particular, we show th…

math.AG20211 cited

The geometry of Hilbert schemes of two points on projective space

Tim Ryan

In this paper, we give three bases for the cohomology groups of the Hilbert scheme of two points on projective space. Then, we use these bases to compute all effective and nef cone…

math.AG2020

The sum of the Betti numbers of smooth Hilbert schemes

Joseph Donato, Monica Lewis, Tim Ryan +2

In this paper, we compute the sum of the Betti numbers for 6 of the 7 families of smooth Hilbert schemes over projective space.