44 citations · 315 across the 37 of their papers we have counts for
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VersalDeformations - a package for computing versal deformations and local Hilbert schemes
Nathan Owen Ilten
We provide an overview of the Macaulay2 package VersalDeformations, which algorithmically computes versal deformations of isolated singularities, as well as local (multi)graded Hil…
Exceptional Sequences on Rational C*-Surfaces
Andreas Hochenegger, Nathan Owen Ilten
Inspired by Bondal's conjecture, we study the behavior of exceptional sequences of line bundles on rational C*-surfaces under homogeneous degenerations. In particular, we provide a…
Upgrading and Downgrading Torus Actions
Nathan Owen Ilten, Robert Vollmert
K. Altmann and J. Hausen have shown that affine T-varieties can be described in terms of p-divisors. Given a p-divisor describing a T-variety X, we show how to construct new p-divi…
Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models
Nathan Owen Ilten, Jacob Lewis, Victor Przyjalkowski
We show that every rank one smooth Fano threefold has a weak Landau-Ginzburg model coming from a toric degeneration. The fibers of these Landau-Ginzburg models can be compactified…
Degenerations to Unobstructed Fano Stanley-Reisner Schemes
Jan Arthur Christophersen, Nathan Owen Ilten
We construct degenerations of Mukai varieties and linear sections thereof to special unobstructed Fano Stanley-Reisner schemes corresponding to convex deltahedra. This can be used…