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Sinica-NCTS Seminar on Geometry
 
11:00 - 12:00, February 15, 2019 (Friday)
Room 617, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 617室)
Complex Analysis on a Neighborhood of a Complex Submanifold and its Applications
Takayuki Koike (Osaka City University)

Abstract:

We explain our recent study on the complex analytic structure of a small tubular neighborhood of a complex submanifold, which is based on T. Ueda's classification theory. We also explain how to apply them to: 
(i) a study on (non-) existence of a smooth Hermitian metric on a nef line bundle over a projective manifold with semi-positive curvature, and 
(ii) a study on non-projective and non-Kummer K3 surfaces.


 

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