English

Generalized semi-invariant distributions on p-adic spaces

Representation Theory 2016-06-08 v2

Abstract

In this paper we investigate some methods on calculating the spaces of generalized semi-invariant distributions on p-adic spaces. Using homological methods, we give a criterion of automatic extension of (generalized) semi-invariant distributions. Based on the meromorphic continuations of Igusa zeta integrals, we give another criteria with purely algebraic geometric conditions, on the extension of generalized semi-invariant distributions.

Keywords

Cite

@article{arxiv.1506.02766,
  title  = {Generalized semi-invariant distributions on p-adic spaces},
  author = {Jiuzu Hong and Binyong Sun},
  journal= {arXiv preprint arXiv:1506.02766},
  year   = {2016}
}

Comments

Lemma 2.10 of version 1 is corrected

R2 v1 2026-06-22T09:49:49.920Z