Algebraic De Rham cohomology |
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| Authors: | Robin Hartshorne |
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| Institution: | (1) Mathematics Department, Harvard University, 2 Divinity Avenue, 02138 Cambridge, Massachusetts |
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| Abstract: | We announce the development of a theory of algebraic De Rham cohomology and homology for arbitrary schemes over a field of characteristic zero. Over the complex numbers, this theory is equivalent to singular cohomology. Applications include generalizations of theorems of Lefschetz and Barth on the cohomology of projective varieties. |
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