N. Ilten

activity

20082026

most citedToric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models

44 citations · 315 across the 37 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AG2017

Fujita's Freeness Conjecture for $T$ -Varieties of Complexity One

Klaus Altmann, Nathan Ilten

We prove Fujita's freeness conjecture for Gorenstein complexity-one $T$ -varieties with rational singularities.

math.AG2017★ 1 cited

Classifying Fano Complexity-One $T$ -Varieties via Divisorial Polytopes

Nathan Ilten, Marni Mishna, Charlotte Trainor

The correspondence between Gorenstein Fano toric varieties and reflexive polytopes has been generalized by Ilten and Süß to a correspondence between Gorenstein Fano complexity-one…

math.AG2017★ 11 cited

Rational Complexity-One T-Varieties are Well-Poised

Nathan Ilten, Christopher Manon

Given an affine rational complexity-one $T$ -variety $X$ , we construct an explicit embedding of $X$ in affine space $A^{n}$ . We show that this embedding is well-poised, that…

Fujita's Freeness Conjecture for T-Varieties of Complexity One

Classifying Fano Complexity-One T-Varieties via Divisorial Polytopes

Rational Complexity-One T-Varieties are Well-Poised

Fujita's Freeness Conjecture for $T$ -Varieties of Complexity One

Classifying Fano Complexity-One $T$ -Varieties via Divisorial Polytopes