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Effective computations for weakly optimal subvarieties

Binyamini, G. and Daw, C. (2022) Effective computations for weakly optimal subvarieties. Journal of the European Mathematical Society. ISSN 1435-9855 (In Press)

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

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