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Tsz On Mario Chan

A vanishing theorem for Cousin-quasi-tori
星期一, 2 五月, 2016 - 10:30
Résumé : 
Cousin-quasi-tori are non-compact analogue of compact complex tori which have no non-constant holomorphic functions on them and are weakly pseudoconvex. Without harmonic theory at the disposal, I will show how a vanishing theorem for the cohomology of holomorphic line bundles on Cousin-quasi-tori is proved by solving \overline\partial-equations using the classical L^2 method and a Runge-type approximation. The result generalises Mumford's Index Theorem on compact complex tori and gives a finer vanishing result than that given by the theorem of Andreotti and Grauert.
 
Institution de l'orateur : 
NCTS Taïwan
Thème de recherche : 
Algèbre et géométries
Salle : 
4
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