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.
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页数：30
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