Polyvector fields for Fano 3-folds

被引：2

作者：

Belmans, Pieter ^{[1
]}

Fatighenti, Enrico ^{[2
]}

Tanturri, Fabio ^{[3
]}

机构：

[1] Univ Luxembourg, Dept Math, 6 Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg

[2] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy

[3] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 304卷 / 01期

关键词：

HOCHSCHILD COHOMOLOGY; DEFORMATION QUANTIZATION; CLASSIFICATION; THEOREMS;

D O I：

10.1007/s00209-023-03261-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 of this invariant, and yields some initial insights in the classification of Poisson structures on Fano 3-folds of higher Picard rank.

引用

页数：30

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