Fujita-Zariski decompositions on some product threefolds
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909656243240960 |
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| author | Fulger, Mihai Lozovanu, Victor |
| author_facet | Fulger, Mihai Lozovanu, Victor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17956 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fujita-Zariski decompositions on some product threefolds Fulger, Mihai Lozovanu, Victor Algebraic Geometry 14M25, 14J30, 14Q15, 14B10, 14E05, 14C20, 14C40 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. |
| title | Fujita-Zariski decompositions on some product threefolds |
| topic | Algebraic Geometry 14M25, 14J30, 14Q15, 14B10, 14E05, 14C20, 14C40 |
| url | https://arxiv.org/abs/2506.17956 |