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Quadratic forms and singularities of genus one or two

Georges Dloussky (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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 of a non-vanishing...

Quasi-Gorenstein Fano 3-folds with isolated non-rational loci

Shihoko Ishii (1991)

Compositio Mathematica

Quasi-lines and their degenerations

Laurent Bonavero, Andreas Höring (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this paper we study the structure of manifolds that contain a quasi-line and give some evidence towards the fact that the irreducible components of degenerations of the quasi-line should determine the Mori cone. We show that the minimality with respect to a quasi-line yields strong restrictions on fibre space structures of the manifold.

Displaying 1 – 3 of 3

Quadratic forms and singularities of genus one or two

Quasi-Gorenstein Fano 3-folds with isolated non-rational loci

Quasi-lines and their degenerations

Currently displaying 1 – 3 of 3