Holomorphic polyvector fields on toric varieties
Wei Hong
TL;DR
This paper provides an explicit description of holomorphic polyvector fields on smooth compact toric varieties, extending previous results on holomorphic vector fields to a broader class of polyvector fields.
Contribution
It generalizes Demazure's classical result by describing holomorphic polyvector fields on toric varieties, offering new insights into their structure.
Findings
Explicit description of holomorphic polyvector fields
Extension of Demazure's vector field results
Broader understanding of toric variety symmetries
Abstract
In this paper, we give an explicit description of holomorphic polyvector fields on smooth compact toric varieties, which generalizes Demazure's result of holomorphic vector fields on toric varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation