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pro vyhledávání: '"Blanco, Santiago Molina"'
Autor:
Blanco, Santiago Molina
Thanks to the Harder-Eichler-Shimura isomorphism we can realize a quaternionic automorphic representation of a fixed weight in the cohomology space of certain arithmetic groups. For many interesting applications, it is convenient to consider the cap-
Externí odkaz:
http://arxiv.org/abs/2309.11207
In this note we define anticyclotomic p-adic measures attached to a finite set of places S above p, a modular elliptic curve E over a general number field F and a quadratic extension K/F. We study the exceptional zero phenomenon that arises when E ha
Externí odkaz:
http://arxiv.org/abs/2107.01838
Autor:
Blanco, Santiago Molina
In this note we propose a new construction of cyclotomic p-adic L-functions attached to classical modular cuspidal eigenforms. This allows us to cover most known cases to date and provides a method which is amenable to generalizations to automorphic
Externí odkaz:
http://arxiv.org/abs/2007.09984
Autor:
Blanco, Santiago Molina
We construct p-adic L-functions associated with triples of finite slope p-adic families of quaternionic automorphic eigenforms over totally real fields on Shimura curves. These results generalize a previous construction, joint work with D.Barrera, pe
Externí odkaz:
http://arxiv.org/abs/2003.08338
Let F be a totally real number field. Using a recent geometric approach developed by Andreatta and Iovita we construct several variables p-adic families of finite slope quaternionic automorphic forms over F. It is achieved by interpolating the modula
Externí odkaz:
http://arxiv.org/abs/1908.00091
Autor:
Blanco, Santiago Molina
The Eichler-Shimura isomorphism realizes the automorphic representation generated by an automorphic newform in certain cohomology of an arithmetic group. In this short note, we give a cohomological interpretation of the Eichler-Shimura isomorphism as
Externí odkaz:
http://arxiv.org/abs/1701.00611
Autor:
Blanco, Santiago Molina
Let A be a modular elliptic curve over a totally real field F, and let E/F be a totally imaginary quadratic extension. In the event of exceptional zero phenomenon, we prove a formula for the derivative of the multivariable anticyclotomic p-adic L-fun
Externí odkaz:
http://arxiv.org/abs/1509.08617