Noncommutative reciprocity laws on algebraic surfaces: the case of tame ramification
Journal Article
·
· Sbornik. Mathematics
- Steklov Mathematical Institute of the Russian Academy of Sciences (Russian Federation)
We prove noncommutative reciprocity laws on an algebraic surface defined over a perfect field. These reciprocity laws establish that some central extensions of globally constructed groups split over certain subgroups constructed by points or projective curves on a surface. For a two-dimensional local field with a last finite residue field, the local central extension which is constructed is isomorphic to the central extension which comes from the case of tame ramification of the Abelian two-dimensional local Langlands correspondence suggested by Kapranov. Bibliography: 9 titles.
- OSTI ID:
- 22365852
- Journal Information:
- Sbornik. Mathematics, Vol. 204, Issue 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Quadratic Reciprocity and the Group Orders of Particle States
On ramification theory in the imperfect residue field case
Weyl-Wigner formulation of noncommutative quantum mechanics
Technical Report
·
Fri Jun 01 00:00:00 EDT 2001
·
OSTI ID:22365852
+2 more
On ramification theory in the imperfect residue field case
Journal Article
·
Wed Dec 31 00:00:00 EST 2003
· Sbornik. Mathematics
·
OSTI ID:22365852
Weyl-Wigner formulation of noncommutative quantum mechanics
Journal Article
·
Tue Jul 15 00:00:00 EDT 2008
· Journal of Mathematical Physics
·
OSTI ID:22365852
+1 more