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arXiv · 2609.14315

Holomorphic polyvector fields on toric varieties via Klyachko filtrations

Wei Hong·Maosong Xiang
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Abstract

Motivated by the extended deformation theory of complex manifolds, we give a combinatorial description of holomorphic polyvector fields on a smooth compact toric variety via Klyachko's filtrations. This yields dimension and formal equivariant-character formulas and recovers the descriptions of Demazure roots and anticanonical sections.

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BibTeXRIS

Wei Hong, Maosong Xiang. 2026-09-13. Holomorphic polyvector fields on toric varieties via Klyachko filtrations. https://arxiv.org/abs/2609.14315

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