Displaying similar documents to “Explicit resolutions of double point singularities of surfaces.”

Quadratic forms and singularities of genus one or two

Georges Dloussky (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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We study singularities obtained by the contraction of the maximal divisor in compact (non-kählerian) surfaces which contain global spherical shells. These singularities are of genus 1 or 2, may be ℚ -Gorenstein, numerically Gorenstein or Gorenstein. A family of polynomials depending on the configuration of the curves computes the discriminants of the quadratic forms of these singularities. We introduce a multiplicative branch topological invariant which determines the twisting coefficient...

Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero

Piedra-Sánchez, R., Tornero, J. (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14B05, 32S25. The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution processes, both classical and modern. In this paper we explore how it changes by blowing–up. * Supported by FQM 304 and BFM 2000–1523. ** Supported by FQM 218 and BFM 2001–3207.

Curves on a ruled cubic surface.

John Brevik, Francesco Mordasini (2003)

Collectanea Mathematica

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For the general ruled cubic surface S (with a double line) in P3 = P3 sub k, k any algebraically closed field, we find necessary conditions for which curves on S can be the specialization of a flat family of curves on smooth cubics. In particular, no smooth curve of degree > 10 on S is such a specialization.