Quadratic forms and singularities of genus one or two
| dc.creator | Dloussky, Georges | |
| dc.date | 2007-02-15 | |
| dc.date | 2008-01-07 | |
| dc.date.accessioned | 2026-07-07T08:52:41Z | |
| dc.date.available | 2026-07-07T08:52:41Z | |
| dc.description | We study singularities obtained by the contraction of the maximal divisor in compact (non kaehlerian) 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 discriminant of the quadratic forms of these singularities. We introduce a multiplicative branch topological invariant which determines the twisting of a non-vanishing holomorphic 1-form on the complement of the singular point. | |
| dc.description | 40 pages, 33 figures, misprints corrected, section 3.4 added | |
| dc.identifier | https://arxiv.org/abs/math/0702467 | |
| dc.identifier | http://arxiv.org/abs/math/0702467 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145360 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S25; 32J15; 14J17; 14B05; 11C20; 15A36 | |
| dc.title | Quadratic forms and singularities of genus one or two | |
| dc.type | text |