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Harmonic analysis and the Riemann-Roch theorem
Harmonic analysis the Riemann-Roch theorem Algebraic Geometry
2011/8/23
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 theor...
A Riemann-Roch Theorem For One-Dimensional Complex Groupoids
Riemann-Roch Theorem One-Dimensional Complex Groupoids
2010/11/2
We consider a smooth groupoid of the form \Sigma\rtimes\Gamma where \Sigma is a Riemann surface and \Gamma a discrete pseudogroup acting on \Sigma by local conformal diffeomorphisms. After defining a ...