Harmonic analysis and the Riemann-Roch theorem

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.

7 pages; to appear in Doklady Mathematics

Cited by in corpus (2)

• Central extensions and Riemann-Roch theorem on algebraic surfaces
• Intersections of adelic groups on a surface