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2014 | 1 | 1 |

Tytuł artykułu

From non-Kählerian surfaces to Cremona group of P2(C)

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EN

Abstrakty

EN
For any minimal compact complex surface S with n = b2(S) > 0 containing global spherical shells (GSS) we study the effectiveness of the 2n parameters given by the n blown up points. There exists a family of surfaces S → B with GSS which contains as fibers S, some Inoue-Hirzebruch surface and non minimal surfaces, such that blown up points are generically effective parameters. These families are versal outside a non empty hypersurface T ⊂ B. We deduce that, for any configuration of rational curves, there is a non empty open set in the Oeljeklaus-Toma moduli space such that the corresponding surfaces are defined by a contracting germ in Cremona group, in particular admit a birational structure.

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Tom

1

Numer

1

Opis fizyczny

Daty

wydano
2014-01-01
otrzymano
2013-11-03
zaakceptowano
2014-02-11
online
2014-04-23

Twórcy

  • Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France

Bibliografia

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  • [30] Teleman A., On the torsion of the first direct image of a locally free sheaf. arxiv:1309.0342 (2013)

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.doi-10_2478_coma-2014-0001
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