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Holomorphic polyvector fields on toric varieties via Klyachko filtrations
Wei Hong, Maosong Xiang
Source 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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