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arXiv · 2104.12685

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

Yang Deng·Wei Hong
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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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Yang Deng, Wei Hong. 2021-04-26. BV operators of the Gerstenhaber algebras of holomorphic polyvector fields on toric varieties. https://arxiv.org/abs/2104.12685

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