{"id":{"repo_id":"milano","oai_identifier":"oai:air.unimi.it:2434/1027770"},"canonical_url":"https://search.dev.ndltd.org/etd/milano/oai:air.unimi.it:2434/1027770","repository":{"repo_id":"milano","name":"Università degli Studi di Milano","base_url":"https://air.unimi.it/oai/request"},"display":{"title":"SEMISTABLE MODELS OF HYPERELLIPTIC CURVES IN THE WILD CASE & DIFFERENTIAL OPERATORS ON P-ADIC MODULAR FORMS","abstract":"This PhD thesis is divided into two parts, collecting two independent pieces of work I completed during my PhD, both in the realm of number theory and arithmetic geometry. The first part presents a joint work with J. Yelton, regarding semistable models of hyperelliptic curves in the wild case. To this subject, which was already the topic of my MSc. thesis, I devoted part of my research work during my PhD, until completing it during summer 2022. The second part of this thesis discusses some research findings related to a completely unrelated topic proposed to me by my PhD advisor Fabrizio Andreatta, namely the one of geometric constructions of differential operators on sheaves of p-adic modular forms.","abstract_html":"This PhD thesis is divided into two parts, collecting two independent pieces of work I completed during my PhD, both in the realm of number theory and arithmetic geometry. The first part presents a joint work with J. Yelton, regarding semistable models of hyperelliptic curves in the wild case. To this subject, which was already the topic of my MSc. thesis, I devoted part of my research work during my PhD, until completing it during summer 2022. The second part of this thesis discusses some research findings related to a completely unrelated topic proposed to me by my PhD advisor Fabrizio Andreatta, namely the one of geometric constructions of differential operators on sheaves of p-adic modular forms.","abstract_has_math":false,"creators":["FIORE, LEONARDO"],"institution":"Università degli Studi di Milano","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["tutor: F. Andreatta","L. Fiore","ANDREATTA, FABRIZIO"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024-03-07","date_published":"2024-03-07","updated_at":"2026-07-27T20:18:46Z","subjects":["semistable model","wild cover","p-adic modular form","theta operator","Igusa varieties","Settore MAT/02 - Algebra"],"languages":["eng"],"rights":["info:eu-repo/semantics/openAccess"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["http://dx.doi.org/10.13130/fiore-leonardo_phd2024-03-07","10.13130/fiore-leonardo_phd2024-03-07"],"render_values":[{"text":"http://dx.doi.org/10.13130/fiore-leonardo_phd2024-03-07","href":"http://dx.doi.org/10.13130/fiore-leonardo_phd2024-03-07","code":true},{"text":"10.13130/fiore-leonardo_phd2024-03-07","href":"https://doi.org/10.13130/fiore-leonardo_phd2024-03-07","code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/2434/1027770","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["tutor: F. 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The first part presents a joint work with J. Yelton, regarding semistable models of hyperelliptic curves in the wild case. To this subject, which was already the topic of my MSc. thesis, I devoted part of my research work during my PhD, until completing it during summer 2022. The second part of this thesis discusses some research findings related to a completely unrelated topic proposed to me by my PhD advisor Fabrizio Andreatta, namely the one of geometric constructions of differential operators on sheaves of p-adic modular forms."]},{"key":"dc:title","label":"Title","values":["SEMISTABLE MODELS OF HYPERELLIPTIC CURVES IN THE WILD CASE & DIFFERENTIAL OPERATORS ON P-ADIC MODULAR FORMS"]}]}],"canonical_facts":{"dc:contributor":["tutor: F. Andreatta","L. 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The second part of this thesis discusses some research findings related to a completely unrelated topic proposed to me by my PhD advisor Fabrizio Andreatta, namely the one of geometric constructions of differential operators on sheaves of p-adic modular forms."],"dc:identifier":["https://hdl.handle.net/2434/1027770","http://dx.doi.org/10.13130/fiore-leonardo_phd2024-03-07","10.13130/fiore-leonardo_phd2024-03-07"],"dc:language":["eng"],"dc:publisher":["Università degli Studi di Milano"],"dc:rights":["info:eu-repo/semantics/openAccess"],"dc:subject":["semistable model","wild cover","p-adic modular form","theta operator","Igusa varieties","Settore MAT/02 - Algebra"],"dc:title":["SEMISTABLE MODELS OF HYPERELLIPTIC CURVES IN THE WILD CASE & DIFFERENTIAL OPERATORS ON P-ADIC MODULAR FORMS"],"dc:type":["info:eu-repo/semantics/doctoralThesis"]},"updated_at":"2026-07-27T20:18:46Z"}