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The growth of dimension of cohomology of semipositive line bundles on complex manifolds

王欢 博士(华东师范大学)
Thursday, December 6th, 2018, 1:00 PM  闵行4教414
 
Abstract:
We study the dimension of cohomology of semipositive line bundles on complex manifolds, and obtain an asymptotic estimate for the dimension of the space of harmonic (0,q)-forms with values in high tensor powers of a semipositive line bundle when the fundamental estimate holds. We will introduce the background and recent progresses based on arXiv: 1810.09881v1.
   
 
 
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