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Arithmetic surfaces and adelic quotient groups
- Publication Year :
- 2018
-
Abstract
- We explicitly calculate an arithmetic adelic quotient group for a locally free sheaf on an arithmetic surface when the fiber over the infinite point of the base is taken into account. The calculations are presented via a short exact sequence. We relate the last term of this short exact sequence with the projective limit of groups which are finite direct products of copies of one-dimensional real torus and are connected with first cohomology groups of locally free sheaves on the arithmetic surface.<br />21 pages; minor changes; to appear in Izvestiya: Mathematics
- Subjects :
- Arithmetic surface
Exact sequence
Mathematics - Number Theory
General Mathematics
010102 general mathematics
Torus
01 natural sciences
Cohomology
Base (group theory)
Mathematics - Algebraic Geometry
0103 physical sciences
FOS: Mathematics
Sheaf
Number Theory (math.NT)
010307 mathematical physics
Inverse limit
0101 mathematics
Arithmetic
Quotient group
Algebraic Geometry (math.AG)
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....5a31b1921cfed5728b17d10936ba6237