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Coverings of Rational Ruled Normal Surfaces

In: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Author

Listed:
  • Enrique Artal Bartolo

    (Universidad de Zaragoza, Departamento de Matemáticas, IUMA)

  • José Ignacio Cogolludo-Agustín

    (Universidad de Zaragoza, Departamento de Matemáticas, IUMA)

  • Jorge Martín-Morales

    (Academia General Militar, Centro Universitario de la Defensa-IUMA)

Abstract

In this work we use arithmetic, geometric, and combinatorial techniques to compute the cohomology of Weil divisors of a special class of normal surfaces, the so-called rational ruled toric surfaces. These computations are used to study the topology of cyclic coverings of such surfaces ramified along ℚ $$\mathbb {Q}$$ -normal crossing divisors.

Suggested Citation

  • Enrique Artal Bartolo & José Ignacio Cogolludo-Agustín & Jorge Martín-Morales, 2018. "Coverings of Rational Ruled Normal Surfaces," Springer Books, in: Gert-Martin Greuel & Luis Narváez Macarro & Sebastià Xambó-Descamps (ed.), Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, pages 343-373, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-96827-8_13
    DOI: 10.1007/978-3-319-96827-8_13
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