{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/110498"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/110498","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Special fibers of Shimura varieties in the Torelli locus","abstract":"Made available in DSpace on 2021-09-17T01:11:02Z (GMT). No. of bitstreams: 3 DONEPUDI-DISSERTATION-2021.pdf: 517562 bytes, checksum: 7c80a88ec88901b1db161f88a523759f (MD5) LICENSE.txt: 4216 bytes, checksum: 825e40fd49bbd451ec9cdc84e996a600 (MD5) PROQUEST_LICENSE.txt: 4562 bytes, checksum: cb833913b68238284141e73246b6fca6 (MD5) Previous issue date: 2021-04-23","abstract_html":"Made available in DSpace on 2021-09-17T01:11:02Z (GMT). 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No. of bitstreams: 3 DONEPUDI-DISSERTATION-2021.pdf: 517562 bytes, checksum: 7c80a88ec88901b1db161f88a523759f (MD5) LICENSE.txt: 4216 bytes, checksum: 825e40fd49bbd451ec9cdc84e996a600 (MD5) PROQUEST_LICENSE.txt: 4562 bytes, checksum: cb833913b68238284141e73246b6fca6 (MD5) Previous issue date: 2021-04-23","In this dissertation, we study the special fibers of thirteen Shimura varieties with an irreducible component containing a dense subset of Jacobians. The relevant Jacobians arise from branched non-abelian Galois covers of the projective line. Using the action of the Galois group of the cover, we are able to determine the position of the special fibers of these Shimura varieties inside the Siegel modular variety with respect to the Newton and Ekedahl-Oort stratifications in positive characteristic.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2021-09-16 without embargo terms","The student, Ravi Kiran Donepudi, accepted the attached license on 2021-04-22 at 09:46.","The student, Ravi Kiran Donepudi, submitted this Dissertation for approval on 2021-04-22 at 09:48.","This Dissertation was approved for publication on 2021-04-23 at 13:27.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16391 on 2021-09-16 at 16:42:31"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Special fibers of Shimura varieties in the Torelli locus"]}]}],"canonical_facts":{"dc:contributor":["Allen, Patrick","Ahlgren, Scott","Zaharescu, Alexandru","Duursma, Iwan"],"dc:creator":["Donepudi, Ravi Kiran"],"dc:date":["2021-09-17T01:11:02Z","2021-04-23","2021-05"],"dc:description":["Made available in DSpace on 2021-09-17T01:11:02Z (GMT). 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The submission was exported from vireo on 2021-09-16 without embargo terms","The student, Ravi Kiran Donepudi, accepted the attached license on 2021-04-22 at 09:46.","The student, Ravi Kiran Donepudi, submitted this Dissertation for approval on 2021-04-22 at 09:48.","This Dissertation was approved for publication on 2021-04-23 at 13:27.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16391 on 2021-09-16 at 16:42:31"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/110498"],"dc:language":["en"],"dc:rights":["Copyright 2021 Ravi Kiran Donepudi"],"dc:subject":["Abelian Varieties","Shimura Varieties","Torelli Locus","Newton Polygon","Ekedahl-Oort type"],"dc:title":["Special fibers of Shimura varieties in the Torelli locus"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:50Z"}