Accessibility navigation


Effective computations for weakly optimal subvarieties

Binyamini, G. and Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2024) Effective computations for weakly optimal subvarieties. Journal of the European Mathematical Society. ISSN 1435-9863

[img]
Preview
Text - Accepted Version
· Please see our End User Agreement before downloading.

464kB

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item DOI: 10.4171/JEMS/1408

Abstract/Summary

Ren and the second author established that the weakly optimal subvarieties (e.g. maximal weakly special subvarieties) of a subvariety V of a Shimura variety arise in finitely many families. In this article, we refine this theorem by (1) constructing a finite collection of algebraic families whose fibers are precisely the weakly optimal subvarieties of V; (2) obtaining effective degree bounds on the weakly optimal locus and its individual members; (3) describing an effective procedure to determine the weakly optimal locus.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:105512
Publisher:EMS Press

Downloads

Downloads per month over past year

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation