Journal article
Orbit closures and rational surfaces
Journal of pure and applied algebra, Vol.220(5), pp.1785-1812
01/20/2014
DOI: 10.1016/j.jpaa.2015.10.002
Abstract
J. Pure Appl. Algebra 220 (2016), 1785-1812 In this paper we study the Grassmannian of submodules of a given dimension inside a finitely generated projective module $P$ for a finite dimensional algebra $\Lambda$ over an algebraically closed field. The orbit of such a submodule $C$ under the action of $\mathrm{Aut}_\Lambda ( P )$ on the Grassmannian encodes information on the degenerations of $P/C$ and has been considered by a number of authors. The goal of this article is to bound the geometry of two-dimensional orbit closures in terms of representation-theoretic data. Several examples are given to illustrate the interplay between the geometry of the projective surfaces which arise and the corresponding posets of degenerations.
Details
- Title: Subtitle
- Orbit closures and rational surfaces
- Creators
- Frauke M BleherTed ChinburgBirge Huisgen-Zimmermann
- Resource Type
- Journal article
- Publication Details
- Journal of pure and applied algebra, Vol.220(5), pp.1785-1812
- DOI
- 10.1016/j.jpaa.2015.10.002
- ISSN
- 0022-4049
- eISSN
- 1873-1376
- Grant note
- name: NSA, award: H98230-11-1-0131; DOI: 10.13039/100000001, name: NSF, award: DMS 1360621; DOI: 10.13039/100000001, name: NSF, award: DMS 1265290, DMS 1360767; name: Simons Fellowship, award: 338379; DOI: 10.13039/100000001, name: NSF, award: DMS 0500961; DOI: 10.13039/100000001, name: NSF, award: DMS 0932078
- Language
- English
- Date published
- 01/20/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9983986097002771
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