Polyvector fields for Fano 3-folds
Algebraic Geometry
2023-05-01 v3
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.
Keywords
Cite
@article{arxiv.2104.07626,
title = {Polyvector fields for Fano 3-folds},
author = {Pieter Belmans and Enrico Fatighenti and Fabio Tanturri},
journal= {arXiv preprint arXiv:2104.07626},
year = {2023}
}
Comments
Several typos removed, exposition improved