arXiv Open Access 2000

Invitation to higher local fields, Interlude: Existence theorem for higher local class field theory

Kazuya Kato

Lihat Sumber

Abstrak

Viewing higher local fields as ring objects in the category of iterated pro-ind-objects, a definition of open subgroups in Milnor K-groups of the fields is given. The self-duality of the additive group of a higher local field is proved. By studying norm groups of cohomological objects and using cohomological approach to higher local class field theory the existence theorem is proved.

Topik & Kata Kunci

math.NT math.AG

Penulis (1)

Kazuya Kato

Format Sitasi

APA MLA BibTeX

Kato, K. (2000). Invitation to higher local fields, Interlude: Existence theorem for higher local class field theory. https://arxiv.org/abs/math/0012150

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2000
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓