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The Riemann-Roch theorem on surfaces with log-terminal singularities

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Abstract

Using the singular Riemann-Roch theorem, we propose a method to construct anticanonical sections on singular del Pezzo surfaces.

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Authors and Affiliations

  1. Department of Algebra, Faculty of Mathematics, Moscow State Lomonosov University, Moscow, 119992, Russia

    Yu. G. Prokhorov

  2. Department of Algebraic and Geometric Computations, Faculty of Mathematics, Ulyanovsk State University, Ulyanovsk, 432600, Russia

    A. B. Verëvkin

Authors
  1. Yu. G. Prokhorov
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  2. A. B. Verëvkin
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 10, No. 4, pp. 35–42, 2004.

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Prokhorov, Y.G., Verëvkin, A.B. The Riemann-Roch theorem on surfaces with log-terminal singularities. J Math Sci 140, 200–205 (2007). https://doi.org/10.1007/s10958-007-0417-6

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  • DOI: https://doi.org/10.1007/s10958-007-0417-6

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