44 citations · 315 across the 37 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.AG2019
Fano Schemes of Complete Intersections in Toric Varieties
Nathan Ilten, Tyler L. Kelly
We study Fano schemes for complete intersections in a projective toric variety . Our strategy is to decompose into closed subschemes ba…
math.AG2019
Singular Curves of Low Degree and Multifiltrations from Osculating Spaces
Jarosław Buczyński, Nathan Ilten, Emanuele Ventura
In order to study projections of smooth curves, we introduce multifiltrations obtained by combining flags of osculating spaces. We classify all configurations of singularities occu…
math.AG2019
Algebraic Hyperbolicity for Surfaces in Toric Threefolds
Christian Haase, Nathan Ilten
Adapting focal loci techniques used by Chiantini and Lopez, we provide lower bounds on the genera of curves contained in very general surfaces in Gorenstein toric threefolds. We il…