%0 Thesis %A Li, Hongshan %D 2019 %T Vanishing Theorems for the logarithmic de Rham complex of unitary local system %U https://hammer.purdue.edu/articles/thesis/Vanishing_Theorems_for_the_logarithmic_de_Rham_complex_of_unitary_local_system/8006177 %R 10.25394/PGS.8006177.v1 %2 https://hammer.purdue.edu/ndownloader/files/14937782 %K algebraic geom %K Hodge decomposition %K Algebraic and Differential Geometry %X This work includes various proofs of cohomology vanishing for logarithmic de Rham complex of unitary local system defined on an open algebraic complex manifold, which has a projective compactification by normal crossing divisor %I Purdue University Graduate School