@article{bde7eb3e2dbd4c309f13cb55cfca076c,
title = "Effective computations for weakly optimal subvarieties",
abstract = "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.",
author = "Gal Binyamini and Christopher Daw",
note = "C. Daw would like to thank the University of Oxford for having him as a Visiting Research Fellow. Both authors would like to thank the anonymous referee for his/her comment G. Binyamini was supported by the ISRAEL SCIENCE FOUNDATION (grant No. 1167/17) and by funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (grant agreement No 802107). This research was generously supported by Shimon and Golde Picker - Weizmann Annual Grant. C. Daw would like to thank the EPSRC for its support via a New Investigator Award (EP/S029613/1)",
year = "2024",
month = jan,
day = "9",
doi = "10.4171/JEMS/1408",
language = "الإنجليزيّة",
journal = "Journal of the European Mathematical Society",
issn = "1435-9855",
publisher = "European Mathematical Society Publishing House",
}