On the Hodge conjecture for q–complete manifolds
Copyright policy )On the Hodge conjecture for q–complete manifolds
In this version we improved most of the main results, showing that the analytic cycles representing the top dimensional cohomology classes of a $q$-complete complex manifold can be chosen to consist of holomorphic images of the ball (instead of ellipsoids that were used in Version 1)
We establish the Hodge conjecture for the top dimensional cohomology group with integer coefficients of any $q$-complete complex manifold $X$ with $q
- university of lille France
- University of Ljubljana Slovenia
- Laboratoire Paul Painlevé France
- University of Lille France
Mathematics - Complex Variables, 32E10, 32F10, 14C30 (Primary), 32F10, 32E10 (Secondary), 32J25, $q$–complete manifold, 14C30, 32J25, Mathematics - Algebraic Geometry, Stein manifold, FOS: Mathematics, complex analytic cycle, Hodge conjecture, Complex Variables (math.CV), Poincaré–Lefschetz duality, Algebraic Geometry (math.AG)
Mathematics - Complex Variables, 32E10, 32F10, 14C30 (Primary), 32F10, 32E10 (Secondary), 32J25, $q$–complete manifold, 14C30, 32J25, Mathematics - Algebraic Geometry, Stein manifold, FOS: Mathematics, complex analytic cycle, Hodge conjecture, Complex Variables (math.CV), Poincaré–Lefschetz duality, Algebraic Geometry (math.AG)
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