Fujita-Zariski decompositions on some product threefolds
Algebraic Geometry
2025-06-24 v1
Abstract
We use explicit blow-ups and computations of birational Fujita-Zariski decompositions to determine generic infinitesimal Newton-Okounkov bodies for box-product ample polarizations on three classes of spaces: product between a curve and the projective plane, products of three curves, and the product between a curve and a Jacobian surface. In particular we compute the volume of many big but non-nef divisors on blow-ups of these threefolds.
Keywords
Cite
@article{arxiv.2506.17956,
title = {Fujita-Zariski decompositions on some product threefolds},
author = {Mihai Fulger and Victor Lozovanu},
journal= {arXiv preprint arXiv:2506.17956},
year = {2025}
}
Comments
32 pages, 10 figures