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Algebraic Geometry On Fridays - Gordon Heier(University of Houston)

posted Apr 25, 2013, 6:26 PM by Jihye Jung   [ updated May 14, 2013, 9:26 PM ]

 

- Title : On curvature and the structure of projective Kaehler manifolds  

 

 

- Speaker : Gordon Heier(University of Houston)

 

 

- Date & Time :  3  May, 2013 (Fri) 14:00~15:00

 

 

- Place : Math Science Building room 404

 

 

- Abstract

We will discuss the structure of projective Kaehler manifolds based on various curvature assumptions. If the holomorphic sectional curvature is negative, we will present positivity theorems for the canonical line bundle.

In the positive curvature case, positive total scalar curvature will be identified as a sufficient condition for uniruledness, and positive holomorphic sectional curvature will be shown to imply rational connectedness. (This is joint work with Lu-Wong and Wong, respectively.)

 
 
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Jihye Jung,
Apr 25, 2013, 6:29 PM
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