Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.25185 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911714613657600 |
|---|---|
| author | Lu, Yi |
| author_facet | Lu, Yi |
| contents | We establish three generalizations of the Küronya-Lozovanu jet separation criterion via Newton-Okounkov bodies: if an inverted standard simplex of size $n+k+\varepsilon$ is contained in all infinitesimal Newton-Okounkov bodies at $x$, then $K_X+D$ separates $k$-jets at $x$. We prove (1) a canonical-free version with a computable multiple $m(D)$; (2) a multipoint extension for simultaneous jet separation; and (3) a combination of both. Proofs use Trusiani's framework and Nadel vanishing. We conclude with explicit computations for a double cover of a product of elliptic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25185 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Newton-Okounkov Bodies and Jet Separation: Canonical-Free and Multipoint Generalizations Lu, Yi Algebraic Geometry We establish three generalizations of the Küronya-Lozovanu jet separation criterion via Newton-Okounkov bodies: if an inverted standard simplex of size $n+k+\varepsilon$ is contained in all infinitesimal Newton-Okounkov bodies at $x$, then $K_X+D$ separates $k$-jets at $x$. We prove (1) a canonical-free version with a computable multiple $m(D)$; (2) a multipoint extension for simultaneous jet separation; and (3) a combination of both. Proofs use Trusiani's framework and Nadel vanishing. We conclude with explicit computations for a double cover of a product of elliptic curves. |
| title | Newton-Okounkov Bodies and Jet Separation: Canonical-Free and Multipoint Generalizations |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.25185 |