-structures associated with pairs of
-spherical objects and noncommutative orders over curves
Author:
Alexander Polishchuk
Journal:
Trans. Amer. Math. Soc. 373 (2020), 6029-6093
MSC (2010):
Primary 14F05, 16E35
DOI:
https://doi.org/10.1090/tran/8140
Published electronically:
July 3, 2020
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We show that pairs of
-spherical objects in
-categories, such that the morphism space
is concentrated in degree 0, can be described by certain noncommutative orders over (possibly stacky) curves. In fact, we establish a more precise correspondence at the level of isomorphism of moduli spaces which we show to be affine schemes of finite type over
.
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Additional Information
Alexander Polishchuk
Affiliation:
University of Oregon, Eugene, Oregon 97403; National Research University Higher School of Economics, Moscow, Russian Federation; and Korea Institute for Advanced Study, Seoul, South Korea
MR Author ID:
339630
DOI:
https://doi.org/10.1090/tran/8140
Received by editor(s):
June 16, 2018
Received by editor(s) in revised form:
September 27, 2019
Published electronically:
July 3, 2020
Additional Notes:
The author was supported in part by the NSF grant DMS-1700642, by the National Center of Competence in Research “SwissMAP — The Mathematics of Physics” of the Swiss National Science Foundation, and within the framework of the HSE University Basic Research Program, and by the Russian Academic Excellence Project ‘5-100’.
Article copyright:
© Copyright 2020
American Mathematical Society