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arxiv: 0709.3528 · v1 · submitted 2007-09-21 · 🧮 math.AG · math.DG

Autour de la cohomologie de Bott-Chern

Michel Schweitzer (Institut Fourier , Universit\'e de Grenoble I) This is my paper
classification 🧮 math.AG math.DG
keywords cohomologycasetheoryahleranalyticapplicationsautourbeilinson
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The goal of the memoir is to develop a new cohomology theory which encompasses De Rham and Dolbeault cohomology as well as Deligne Beilinson cohomology, in the context of general complex analytic manifolds. The special case of the Iwasawa manifold is investigated as a typical example of what occurs in the non K\"ahler case. Elementary applications to the Kodaira-Spencer deformation theory and to the calculation of Chern classes are given.

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