Class field theory for products of open curves over a local field
Toshiro Hiranouchi
TL;DR
This paper explores the class field theory for products of open curves over local fields, focusing on understanding the kernel of the reciprocity homomorphism to advance the theoretical framework.
Contribution
It provides a detailed analysis of the kernel of the reciprocity homomorphism for such products, offering new insights into their class field theory.
Findings
Determined the kernel of the reciprocity homomorphism.
Enhanced understanding of class field theory for open curve products.
Contributed to the theoretical foundation of local field arithmetic.
Abstract
We investigate the class field theory for products of open curves over a local field. In particular, we determine the kernel of the reciprocity homomorphism.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory