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math.AG2025
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…
math.AG2025
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…
math.AG2025
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…