Vanishing on toric surfaces
Yuan Wang, Fei Xie
TL;DR
This paper proves key vanishing theorems, including Kawamata-Viehweg and Kodaira-type, for projective toric surfaces over any field, extending their applicability beyond algebraically closed fields.
Contribution
It establishes vanishing theorems for toric surfaces over arbitrary fields, broadening the scope of these fundamental results.
Findings
Proves Kawamata-Viehweg vanishing for toric surfaces over any field
Establishes Kodaira-type vanishing in the same setting
Extends classical results to more general base fields
Abstract
We prove the Kawamata-Viehweg vanishing and another Kodaira-type vanishing for projective toric surfaces over arbitrary fields.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds