41 citations · 62 across the 13 of their papers we have counts for
19 papers
Fujita-Zariski decompositions on some product threefolds
Mihai Fulger, Victor Lozovanu
We use explicit blow-ups and computations of birational Fujita-Zariski decompositions to determine generic infinitesimal Newton-Okounkov bodies for box-product ample polarizations…
Infinitesimal successive minima, partial jets and convex geometry
Mihai Fulger, Victor Lozovanu
We introduce two sets of invariants for a line bundle at a point: infinitesimal successive minima and asymptotic partial jet separation. They are inspired by the local analogue of…
Infinitesimal Newton-Okounkov bodies on products of curves
Mihai Fulger, Victor Lozovanu
We compute the generic infinitesimal Newton-Okounkov body at any point for some box-product polarizations on products of curves. This appears to be the first nontrivial description…
Multiplicities of irreducible theta divisors
Victor Lozovanu
Let be a complex principally polarized abelian variety of dimension . Based on vanishing theorems, differentiation techniques and intersection theory, we show that…
Seshadri constants of indecomposable polarized abelian varieties
Victor Lozovanu
The goal of this note is to study a conjectural picture on lower bounds of Seshadri constants of indecomposable polarized abelian varieties. This is inspired by some ideas of Debar…
Singular divisors and syzygies of polarized abelian threefolds
Victor Lozovanu
We provide numerical conditions for a polarized abelian threefold to have simple syzygies, in terms of property and the vanishing of Koszul cohomology groups $K_{p,…