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BV operators of the Gerstenhaber algebras of holomorphic polyvector fields on toric varieties

Published 26 Apr 2021 in math.AG and math.DG | (2104.12685v3)

Abstract: The vector space of holomorphic polyvector fields on any complex manifold has a natural Gerstenhaber algebra structure. In this paper, we study BV operators of the Gerstenhaber algebras of holomorphic polyvector fields on smooth compact toric varieties. We give a necessary and sufficient condition for the existence of BV operators of the Gerstenhaber algebra of holomorphic polyvector fields on any smooth compact toric variety.

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Authors (2)

  1. Yang Deng 
  2. Wei Hong 

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