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arXiv · 2104.07626

Polyvector fields for Fano 3-folds

Pieter Belmans·Enrico Fatighenti·Fabio Tanturri
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Abstract

We compute the Hochschild-Kostant-Rosenberg decomposition of the Hochschild cohomology of Fano 3-folds. This is the first step in understanding the non-trivial Gerstenhaber algebra structure, and yields some initial insights in the classification of Poisson structures on Fano 3-folds of higher Picard rank.

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Pieter Belmans, Enrico Fatighenti, Fabio Tanturri. 2021-04-15. Polyvector fields for Fano 3-folds. https://doi.org/10.1007/s00209-023-03261-2

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