Cohomology dimension growth for Nakano $q$-semipositive line bundles

25 Sep 2019 Wang Huan

We study the cohomology with high tensor powers of Nakano $q$-semipositive line bundles on complex manifolds. We obtain the asymptotic estimates for the dimension of cohomology with high tensor powers of semipositive line bundles over q-convex manifolds and various possibly non-compact complex manifolds, in which the order of estimates are optimal... (read more)

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Categories


  • COMPLEX VARIABLES
  • DIFFERENTIAL GEOMETRY