The Gerstenhaber productof affine toric varieties

被引：1

作者：

Filip, Matej ^{[1
]}

机构：

[1] JGU Mainz, Inst Math, Staudingerweg 9, D-55099 Mainz, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 03期

关键词：

Gerstenhaber product; Harrison cohomology; Hochschild cohomology; toric varieties; DEFORMATION QUANTIZATION; COHOMOLOGY;

D O I：

10.1080/00927872.2020.1828906

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an affine toric variety SpecoATHORN, we give a convex geometric interpretation of the Gerstenhaber product HH2(A) x HH2(A) -> HH3(A) between the Hochschild cohomology groups. In particular, our construction also generalizes the known results about the cup product T-A(1) x T-A(1) -> T-A(2).

引用

页码：1146 / 1162

页数：17

共 50 条

[21] ASYMPTOTICS OF EIGENSECTIONS ON TORIC VARIETIES
Huckleberry, A.
Sebert, H.
Barlet, D.
ANNALES DE L INSTITUT FOURIER, 2013, 63 (02) : 733 - 762
[22] Cohomology of wheels on toric varieties
Craw, Alastair
Quintero Velez, Alexander
Hokkaido Mathematical Journal, 2015, 44 (01) : 47 - 79
[23] Rational approximations on toric varieties
Huang, Zhizhong
ALGEBRA & NUMBER THEORY, 2021, 15 (02) : 461 - 512
[24] Embedded desingularization of toric varieties
Blanco, Rocio
Encinas, Santiago
JOURNAL OF SYMBOLIC COMPUTATION, 2011, 46 (11) : 1229 - 1241
[25] Bayesian Integrals on Toric Varieties*
Borinsky, Michael
Sattelberger, Anna -Laura
Sturmfels, Bernd
Telen, Simon
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2023, 7 (01) : 77 - 103
[26] Cartier isomorphism for toric varieties
Blickle, M
JOURNAL OF ALGEBRA, 2001, 237 (01) : 342 - 357
[27] HYPERBOLA METHOD ON TORIC VARIETIES
Pieropan, Marta
Schindler, Damaris
JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2024, 11 : 107 - 157
[28] An interpolation theorem in toric varieties
Weimann, Martin
ANNALES DE L INSTITUT FOURIER, 2008, 58 (04) : 1371 - 1381
[29] Degeneration of Schubert varieties of SLn/B to toric varieties
Dehy, R
Yu, RWT
ANNALES DE L INSTITUT FOURIER, 2001, 51 (06) : 1525 - +
[30] Strongly symmetric smooth toric varieties
Cuntz, M.
Ren, Y.
Trautmann, G.
KYOTO JOURNAL OF MATHEMATICS, 2012, 52 (03) : 597 - 620

← 1 2 3 4 5 →