Non-abelian Mellin Transformations and Applications
Algebraic Geometry
2021-07-13 v1
Abstract
We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalization 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 specialization functors. Our main application is to construct new examples of duality spaces in the sense of Bieri-Eckmann, generalizing results of Denham-Suciu.
Cite
@article{arxiv.2107.05608,
title = {Non-abelian Mellin Transformations and Applications},
author = {Yongqiang Liu and Laurenţiu Maxim and Botong Wang},
journal= {arXiv preprint arXiv:2107.05608},
year = {2021}
}
Comments
18 pages, comments are very welcome