5 citations · 28 across the 16 of their papers we have counts for
21 papers
Asymptotic Behavior of Tropical Rank Functions
Ana Maria Botero, Alex Küronya, Eduardo Vital
We show that the asymptotic behavior of the two main competing notions of rank of a linear series on a tropical curve is governed by asymptotic invariants, closely paralleling the…
On K-stability of Fano's last Fanos
Ivan Cheltsov, DongSeon Hwang, Alex Küronya +5
We study K-stability of smooth Fano threefolds of Picard rank and degree which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^…
phenomena on abelian varieties
Barbara Bolognese, Alex Küronya, Martin Ulirsch
Let be a complex abelian variety. We prove an analogue of both the (cohomological) conjecture and the geometric conjecture connecting the finer topological structur…
Convex Fujita numbers are not determined by the fundamental group
Jiaming Chen, Alex Küronya, Yusuf Mustopa +1
We study effective global generation of adjoint line bundles on smooth projective varieties. To measure the effectivity we introduce the concept of the convex Fujita number of a sm…
Tropicalization of toric prevarieties
Alex Küronya, Pedro Souza, Martin Ulirsch
The homogeneous spectrum of a multigraded finitely generated algebra (in the sense of Brenner-Schröer) always admits an embedding into a toric variety that is not necessarily separ…
Toric Newton-Okounkov functions with an application to the rationality of certain Seshadri constants on surfaces
Christian Haase, Alex Küronya, Lena Walter
We initiate a combinatorial study of Newton-Okounkov functions on toric varieties with an eye on the rationality of asymptotic invariants of line bundles. In the course of our effo…