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arXiv · 2512.05289

Seshadri Regions and the Asymptotic Shape of Multigraded Regularity

Juliette Bruce·Lauren Cranton Heller·Mahrud Sayrafi·Alexandra Seceleanu
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Abstract

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.

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Juliette Bruce, Lauren Cranton Heller, Mahrud Sayrafi, Alexandra Seceleanu. 2025-12-04. Seshadri Regions and the Asymptotic Shape of Multigraded Regularity. https://arxiv.org/abs/2512.05289

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