Nathan Owen Ilten

Available identifiers

zbMath Open ilten.nathan-owenMaRDI QIDQ463964

List of research outcomes

Publication	Date of Publication	Type
Khovanskii-finite rational curves of arithmetic genus 2	2024-01-15	Paper
Rational Curves in Projective Toric Varieties	2023-12-27	Paper
Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity	2023-12-04	Paper
Toric degenerations of low-degree hypersurfaces	2023-11-06	Paper
Tropical tangents for complete intersection curves	2022-12-21	Paper
Fano schemes of complete intersections in toric varieties	2022-01-21	Paper
Deformation Theory for Finite Cluster Complexes	2021-11-03	Paper
Algebraic hyperbolicity for surfaces in toric threefolds	2021-08-16	Paper
Rational Complexity-One $\boldsymbol{T}$-Varieties Are Well-Poised	2021-03-15	Paper
Singular Curves of Low Degree and Multifiltrations from Osculating Spaces	2021-03-11	Paper
Fujita's freeness conjecture for \(T\)-varieties of complexity one	2020-09-07	Paper
Khovanskii-finite valuations, rational curves, and torus actions	2020-08-26	Paper
Fano schemes for generic sums of products of linear forms	2020-08-04	Paper
Deformations of smooth complete toric varieties: obstructions and the cup product	2020-07-24	Paper
Projective duals to algebraic and tropical hypersurfaces	2019-12-12	Paper
Classifying Fano complexity-one \(T\)-varieties via divisorial polytopes	2019-02-22	Paper
Vanishing cotangent cohomology for Plücker algebras	2017-08-16	Paper
$F$-split and $F$-regular varieties with a diagonalizable group action	2017-07-21	Paper
On Fano Schemes of Toric Varieties	2017-05-23	Paper
K-stability for Fano manifolds with torus action of complexity 1	2017-02-17	Paper
Fano schemes of lines on toric surfaces	2016-10-26	Paper
Unobstructed Stanley-Reisner degenerations for dual quotient bundles on \(G(2,n)\)	2016-09-05	Paper
Hilbert schemes and toric degenerations for low degree Fano threefolds	2016-08-29	Paper
Product Ranks of the 3 × 3 Determinant and Permanent	2016-06-03	Paper
Equivariant vector bundles on \(t\)-varieties	2015-12-17	Paper
Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans	2015-07-01	Paper
Computations with equivariant toric vector bundles	2015-05-20	Paper
Versal deformations and local Hilbert schemes	2015-05-20	Paper
Fano schemes of determinants and permanents	2015-05-11	Paper
Degenerations to unobstructed Fano Stanley-Reisner schemes	2014-10-17	Paper
Families of invariant divisors on rational complexity-one \(T\)-varieties	2014-03-11	Paper
Upgrading and downgrading torus actions	2013-12-23	Paper
Exceptional sequences on rational \({\mathbb{C}^{*}}\)-surfaces	2013-08-19	Paper
Toric degenerations of Fano threefolds giving weak Landau-Ginzburg models	2013-07-11	Paper
Mutations of Laurent polynomials and flat families with toric fibers	2013-07-04	Paper
Calculating generators of multigraded algebras	2013-03-11	Paper
The geometry of <var>T</var>-varieties	2012-12-29	Paper
Deformations of rational 𝑇-varieties	2012-06-29	Paper
Polarized complexity-1 T-varieties	2011-12-28	Paper
Deformations of smooth toric surfaces	2011-01-14	Paper
Algebraic geometry codes from polyhedral divisors	2010-06-11	Paper
One-parameter toric deformations of cyclic quotient singularities	2009-03-30	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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