12 citations · 33 across the 12 of their papers we have counts for
17 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…
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…
Positivity vs. slope semistability for bundles with vanishing discriminant
Mihai Fulger, Adrian Langer
We give an algebraic proof valid in arbitrary characteristic for the known equivalence between (strongly) slope semistable vector bundles with vanishing discriminant and vanishing…
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…
Seshadri constants for curve classes
Mihai Fulger
We develop a local positivity theory for movable curves on projective varieties similar to the classical Seshadri constants of nef divisors. We give analogues of the Seshadri ample…
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…
Morphisms and faces of pseudo-effective cones
Mihai Fulger, Brian Lehmann
Let be a morphism of projective varieties and suppose that is a pseudo-effective numerical cycle class satisfying . A conjecture of Debarre, Jiang, and Vo…
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…
Positive cones of dual cycle classes
Mihai Fulger, Brian Lehmann
We study generalizations for higher codimension cycles of several well-known definitions of the nef cone of divisors on a projective variety. These generalizations fix some of the…
Kernels of numerical pushforwards
Mihai Fulger, Brian Lehmann
Let be a morphism of projective varieties and consider the pushforward map of numerical cycle classes. We show that when the Chow groups of po…
Zariski decompositions of numerical cycle classes
Mihai Fulger, Brian Lehmann
We construct a Zariski decomposition for cycle classes of arbitrary codimension. This decomposition is an analogue of well-known constructions for divisors. Examples illustrate how…
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…
The cones of effective cycles on projective bundles over curves
Mihai Fulger
Generalizing work done by Miyaoka and others in the case of divisors and of curves, we compute the cones of effective cycles of arbitrary dimension on a projective bundle over a co…