Harmonic analysis and the Riemann-Roch theorem

Details Harmonic analysis and the Riemann-Roch theorem Harmonic analysis and the Riemann-Roch theorem

2011-07-02

arxiv.org/abs/1107.0408v2

Mathematics

Algebraic Geometry

7 pages; to appear in Doklady Mathematics

Scientific paper

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.

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