Harmonic analysis and the Riemann-Roch theorem
Algebraic Geometry
2012-12-18 v2 Number Theory
Abstract
This paper is a continuation of papers: arXiv:0707.1766 [math.AG] and arXiv:0912.1577 [math.AG]. Using the two-dimensional Poisson formulas from these papers and two-dimensional adelic theory we obtain the Riemann-Roch formula on a projective smooth algebraic surface over a finite field.
Cite
@article{arxiv.1107.0408,
title = {Harmonic analysis and the Riemann-Roch theorem},
author = {D. V. Osipov and A. N. Parshin},
journal= {arXiv preprint arXiv:1107.0408},
year = {2012}
}
Comments
7 pages; to appear in Doklady Mathematics