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UID:7562@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170502T110000
DTEND;TZID=Europe/Paris:20170502T120000
DTSTAMP:20241120T204410Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-moduli-stack-of-class-vi
 i-surface/
SUMMARY: (...): On the moduli  stack of class  VII surface
DESCRIPTION:: Travail en collaboration avec G. Dloussky The most important 
 gap in the Kodaira-Enriques classification table concerns the Kodaira clas
 s VII\, e.g. the class of surfaces $X$ having $\\mathrm{kod}(X) =- \\infty
 $\, $b_1(X) = 1$. The main conjecture which (if true) would complete the c
 lassification of class VII surfaces\, states that any minimal class VII su
 rface with $b_2 > 0$ contains $b_2$ holomorphic curves. A weaker conjectur
 e states that any such surface contains a cycle of curves\, and (if true) 
 would complete the classification up to deformation equivalence.In a serie
 s of recent articles I showed that\, at least for small $b_2$\,  the secon
 d conjecture can be proved using methods from Donaldson theory. In this ta
 lk I  will concentrate on minimal class VII surfaces with $b_2\\leq 2$\, a
 nd I will present recent results on the geometry of the corresponding modu
 li stacks. Webpage
CATEGORIES:Séminaire,Géométrie Complexe
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DTSTART:20170326T030000
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