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.

SEMISTABLE MODELS OF HYPERELLIPTIC CURVES IN THE WILD CASE & DIFFERENTIAL OPERATORS ON P-ADIC MODULAR FORMS

FIORE, LEONARDO
2024

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.
7-mar-2024
Inglese
ANDREATTA, FABRIZIO
Università degli Studi di Milano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14242/84968
Il codice NBN di questa tesi è URN:NBN:IT:UNIMI-84968