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SUMMARY:Bruno de Oliveira (University of Miami)
DTSTART:20220705T150000Z
DTEND:20220705T160000Z
DTSTAMP:20260423T022719Z
UID:Geolis/91
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/91/">
 $A_n$ singularities and bigness of the cotangent bundle</a>\nby Bruno de O
 liveira (University of Miami) as part of Geometria em Lisboa (IST)\n\n\nAb
 stract\nIt is well known that for surfaces the positivity property of the 
 cotangent bundle $\\Omega^1_X$ called bigness implies hyperbolic propertie
 s. We give a criterion for bigness of $\\Omega^1_X$ involving the singular
 ities of the canonical model of $X$ and compare it with other criterions. 
 The criterion involves invariants of the canonical singularities whose val
 ues were unknown. We describe a method to find the invariants and obtain f
 ormulas for the $A_n$ singularities. An application of this work is to det
 ermine for which degrees do hypersurfaces in $\\mathbb {P}^3$ have deforma
 tions with big cotangent bundles and have symmetric differentials of low d
 egrees.\n
LOCATION:https://researchseminars.org/talk/Geolis/91/
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