Vanishing theorems for Dolbeault cohomology of log homogeneous varieties

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概要

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• We consider a complete nonsingular complex algebraic variety having a normal crossing divisor such that the associated logarithmic tangent bundle is generated by its global sections. We obtain an optimal vanishing theorem for logarithmic Dolbeault cohomology of nef line bundles in that setting. This implies a vanishing theorem for ordinary Dolbeault cohomology which generalizes results of Broer for flag varieties, and of Mavlyutov for toric varieties.

• 東北大学の論文

著者

• Brion Michel

  Departement De Mathematiques Universite De Grenoble I

関連論文

• Vanishing theorems for Dolbeault cohomology of log homogeneous varieties

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