Ribet bimodules and the specialization of Heegner points
Santiago Molina
TL;DR
This paper studies how Heegner points on Shimura curves behave when reduced at bad primes, revealing reciprocity laws linking Galois actions to geometric structures.
Contribution
It provides a detailed description of the specialization of Heegner points and establishes reciprocity laws connecting Galois actions with geometric features.
Findings
Description of Heegner point specialization at bad primes
Reciprocity laws relating Galois actions to geometric structures
Insights into the arithmetic of Shimura curves
Abstract
We describe the specialization of Heegner points on Shimura curves at primes of bad reduction. Moreover, we give some reciprocity laws relating the Galois action on these points to natural actions on the set of singular points and the set of connected components of the fiber.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models