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Supports and filtrations in algebraic geometry and modular representation theory
by
Paul Balmer
| Venue: | Amer. J. Math |
| Citations: | 20 - 5 self |
BibTeX
@ARTICLE{Balmer_supportsand,
author = {Paul Balmer},
title = {Supports and filtrations in algebraic geometry and modular representation theory},
journal = {Amer. J. Math},
year = {},
pages = {2007}
}
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Abstract
Abstract. Working with tensor triangulated categories, we prove two the-orems relative to supports and then discuss their incarnations in algebraic geometry and in modular representation theory. First, we show that an in-decomposable object has connected support. Then we consider the filtrations by dimension or codimension of the support and prove that the associated subquotients decompose as sums of local terms.
