44 citations · 315 across the 37 of their papers we have counts for
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Polarized Complexity-One T-Varieties
Nathan Owen Ilten, Hendrik Süß
We describe polarized complexity-one T-varieties combinatorially in terms of so-called divisorial polytopes, and show how geometric properties of such a variety can be read off the…
Families of Invariant Divisors on Rational Complexity-One T-Varieties
Andreas Hochenegger, Nathan Owen Ilten
We study invariant divisors on the total spaces of the homogeneous deformations of rational complexity-one T-varieties constructed by Ilten and Vollmert. In particular, we identify…
Deformations of Rational T-Varieties
Nathan Owen Ilten, Robert Vollmert
We show how to construct certain homogeneous deformations for rational normal varieties with codimension one torus action. This can then be used to construct homogeneous deformatio…
Deformations of Smooth Toric Surfaces
Nathan Owen Ilten
For a complete, smooth toric variety Y, we describe the graded vector space T_Y^1. Furthermore, we show that smooth toric surfaces are unobstructed and that a smooth toric surface…