Non-abelian Mellin transformations and applications

被引：0
|
作者：
Liu, Yongqiang [1 ]
Maxim, Laurentiu [2 ]
Wang, Botong [2 ]
机构：
[1] Univ Sci & Technol China, Inst Geometry & Phys, 96 Jinzhai Rd, Hefei 230026, Peoples R China
[2] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA
来源：
FORUM OF MATHEMATICS SIGMA | 2022年 / 10卷
关键词：
14F35; 14F45; 14F06; 32S55; 32S60; PERVERSE SHEAVES; VARIETIES;
D O I：
10.1017/fms.2022.91
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalisation to the non-abelian context and with arbitrary coefficients of the t-exactness of Gabber-Loeser's Mellin transformation. As an intermediate step, we obtain vanishing results for the Sabbah specialisation functors. Our main application is to construct new examples of duality spaces in the sense of Bieri-Eckmann, generalising results of Denham-Suciu.
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页数：17
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