arXiv subjects

Pilar Bayer

Publications and source records attributed to Pilar Bayer.

2 recordsLinked to original sources

arXiv2012

Cohomological interpretation of quadratic modular symbols

Bayer and Blanco-Chacón have recently defined quadratic modular symbols for the Shimura curves X(D,N) attached to Eichler orders of level N of an indefinite quaternion rational algebra of discriminant D. In this paper, we give a cohomological interpretation of these quadratic modular symbols. Explicit computations for the homology of some Shimura curves are also provided.

math.NT↗

arXiv2011

Quadratic modular symbols on Shimura curves

We introduce the concept of quadratic modular symbol and study how these symbols are related to quadratic p-adic L-functions. These objects were introduced in [3] in the case of modular curves. In this paper, we discuss a method to attach quadratic modular symbols and quadratic p-adic L-functions to more general Shimura curves.

math.NT↗