11 citations · 15 across the 5 of their papers we have counts for
6 papers
New constructions of nef classes on self-products of curves
Mihai Fulger, Takumi Murayama
We study the nef cone of self-products of a curve. When the curve is very general of genus , we construct a nontrivial class of self-intersection 0 on the boundary of the nef…
Seshadri constants for vector bundles
Mihai Fulger, Takumi Murayama
We introduce Seshadri constants for line bundles in a relative setting. They generalize the classical Seshadri constants of line bundles on projective varieties and their extension…
Newton-Okounkov bodies and complexity functions
Mihai Fulger, David Schmitz
We show that quite universally the holonomicity of the complexity function of a big divisor on a projective variety does not predict the polyhedrality of the Newton-Okounkov body a…
Volume and Hilbert function of R-divisors
Mihai Fulger, János Kollár, Brian Lehmann
If D is a big divisor and E is an effective divisor, then vol(D-E)<=vol(D)<=vol(D+E). We discuss when each inequality is an equality. Surprisingly, the answer is that the asymptoti…
Asymptotic Schur decomposition of Veronese syzygy functors
Mihai Fulger, Xin Zhou
The syzygies of the d-th Veronese embedding of are functors of the complex vector space V. From a certain perspective, we show that as d grows, their Schur functor d…
Local volumes on normal algebraic varieties
Mihai Fulger
In this paper we study a notion of volume for Cartier divisors on arbitrary blow-ups of normal complex algebraic varieties of dimension greater than one, with a distinguished point…