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The mixed Hodge–Riemann bilinear relations for compact Kähler manifolds |
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| Authors: | Tien-Cuong Dinh Viêt-Anh Nguyên |
| Affiliation: | (1) Analyse Complexe, Institut de Mathématiques de Jussieu (7586 du CNRS), Université Pierre et Marie Curie, 175 rue du Chevaleret, Plateau 7D, 75013 Paris Cedex, France;(2) Max-Planck Institut für Mathematik, Vivatsgasse 7, D–53111 Bonn, Germany |
| Abstract: | We prove the Hodge–Riemann bilinear relations, the hard Lefschetz theorem and the Lefschetz decomposition for compact K?hler manifolds in the mixed situation. Dedicated to Professor Henri Skoda on the occasion of his 60th birthday Received: February 2005; Revision: March 2005; Accepted: April 2005 |
| Keywords: | compact K?hler manifold Hodge theory mixed volume |
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