The stability manifold of local orbifold elliptic quotients

Rota, F. (2022) The stability manifold of local orbifold elliptic quotients. Journal of the London Mathematical Society, 106(3), pp. 2268-2304. (doi: 10.1112/jlms.12634)

Abstract

We study the stability manifold of local models of orbifold quotients of elliptic curves. In particular, we show that a region of the stability manifold is a covering space of the regular set of the Tits cone of the associated elliptic root system. The construction requires an explicit description of the McKay correspondence (Bridgeland, King, and Reid, J. Amer. Math. Soc. 14 (2001), no. 3, 535–554) for A N $A_N$ surface singularities and a study of wall‐crossing phenomena.

• Item Type: Articles
• Additional Information: The author was partially supported by NSF-FRG grant DMS 1663813 and by EPSRC grant EP/R034826/1.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Rota, Dr Franco
• Authors: Rota, F.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of the London Mathematical Society
• Publisher: Wiley
• ISSN: 0024-6107
• ISSN (Online): 1469-7750
• Published Online: 15 June 2022
• Copyright Holders: Copyright © 2022 The Author
• First Published: First published in Journal of the London Mathematical Society 106(3): 2268-2304
• Publisher Policy: Reproduced under a Creative Commons License

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
300490		Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations	Michael Wemyss	Engineering and Physical Sciences Research Council (EPSRC)	WT5128463 EP/R034826/1	M&S - Mathematics