11 citations · 15 across the 6 of their papers we have counts for
10 papers · 1 filter
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…
Positivity and base loci for vector bundles revisited
Mihai Fulger, Nabanita Ray
We give equivalent descriptions for the augmented and diminished base loci of vector bundles in characteristic zero. We show that these base loci behave well under pullback, tensor…
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…