Seshadri Regions and the Asymptotic Shape of Multigraded Regularity
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915655878443008 |
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| author | Bruce, Juliette Heller, Lauren Cranton Sayrafi, Mahrud Seceleanu, Alexandra |
| author_facet | Bruce, Juliette Heller, Lauren Cranton Sayrafi, Mahrud Seceleanu, Alexandra |
| contents | We introduce the Seshadri region of a subvariety, a convex region packaging the classical Seshadri constants with respect to every line bundle simultaneously. We develop the theory of Seshadri regions as a measure of positivity along subvarieties and apply it to determine asymptotic Castelnuovo-Mumford regularity for ideal powers and symmetric powers on smooth projective toric varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Seshadri Regions and the Asymptotic Shape of Multigraded Regularity Bruce, Juliette Heller, Lauren Cranton Sayrafi, Mahrud Seceleanu, Alexandra Algebraic Geometry Commutative Algebra 14M25, 13D02 We introduce the Seshadri region of a subvariety, a convex region packaging the classical Seshadri constants with respect to every line bundle simultaneously. We develop the theory of Seshadri regions as a measure of positivity along subvarieties and apply it to determine asymptotic Castelnuovo-Mumford regularity for ideal powers and symmetric powers on smooth projective toric varieties. |
| title | Seshadri Regions and the Asymptotic Shape of Multigraded Regularity |
| topic | Algebraic Geometry Commutative Algebra 14M25, 13D02 |
| url | https://arxiv.org/abs/2512.05289 |