{"id":{"repo_id":"milano","oai_identifier":"oai:air.unimi.it:2434/949088"},"canonical_url":"https://search.dev.ndltd.org/etd/milano/oai:air.unimi.it:2434/949088","repository":{"repo_id":"milano","name":"Università degli Studi di Milano","base_url":"https://air.unimi.it/oai/request"},"display":{"title":"OVERCONVERGENT MODULAR AND DE RHAM SHEAVES AND P-ADIC ITERATION OF THE GAUSS-MANIN CONNECTION","abstract":"We construct p-adic iteration of the Gauss-Manin connection on overconvergent sheaves of de Rham classes on Hilbert modular varieties in the case p is unramified in the totally real field. 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This is a generalization of the work of Andreatta-Iovita in the case of elliptic curves, using a technique that marks an improvement on their approach in terms of convergence of the iterates of the connection."]},{"key":"dc:title","label":"Title","values":["OVERCONVERGENT MODULAR AND DE RHAM SHEAVES AND P-ADIC ITERATION OF THE GAUSS-MANIN CONNECTION"]}]}],"canonical_facts":{"dc:contributor":["tutor: F. Andreatta ; coordinatore: D. Bambusi","A. Kazi","ANDREATTA, FABRIZIO","BAMBUSI, DARIO PAOLO"],"dc:creator":["KAZI, ANANYO"],"dc:date":["2022-12-21"],"dc:description":["We construct p-adic iteration of the Gauss-Manin connection on overconvergent sheaves of de Rham classes on Hilbert modular varieties in the case p is unramified in the totally real field. This is a generalization of the work of Andreatta-Iovita in the case of elliptic curves, using a technique that marks an improvement on their approach in terms of convergence of the iterates of the connection."],"dc:identifier":["https://hdl.handle.net/2434/949088","http://dx.doi.org/10.13130/kazi-ananyo_phd2022-12-21","10.13130/kazi-ananyo_phd2022-12-21"],"dc:language":["eng"],"dc:publisher":["Università degli Studi di Milano"],"dc:rights":["info:eu-repo/semantics/openAccess"],"dc:subject":["p-adic modular form","Hilbert modular form","Settore MAT/02 - Algebra"],"dc:title":["OVERCONVERGENT MODULAR AND DE RHAM SHEAVES AND P-ADIC ITERATION OF THE GAUSS-MANIN CONNECTION"],"dc:type":["info:eu-repo/semantics/doctoralThesis"]},"updated_at":"2026-07-27T20:18:58Z"}