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Polyvector fields for Fano 3-folds

Authors :
Belmans, Pieter
Fatighenti, Enrico
Tanturri, Fabio
Source :
Mathematische Zeitschrift, volume 304, 12 (2023)
Publication Year :
2021

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.<br />Comment: Several typos removed, exposition improved

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Journal :
Mathematische Zeitschrift, volume 304, 12 (2023)
Publication Type :
Report
Accession number :
edsarx.2104.07626
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s00209-023-03261-2