We show the existence of a compact Kahler manifold which does not fit in a proper flat family over an irreducible base with one projective (possibly singular) fiber. We also give a topological version of this statement. This strengthens our earlier counterexamples to the Kodaira algebraic approximation problem.
机构:
Sorbonne Univ, Inst Math Jussieu, Campus Pierre & Marie Curie,4 Pl Jussieu, F-75252 Paris, FranceSorbonne Univ, Inst Math Jussieu, Campus Pierre & Marie Curie,4 Pl Jussieu, F-75252 Paris, France
Cao, Junyan
Horing, Andreas
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Univ Cote dAzur, CNRS, LJAD, F-06108 Nice 02, FranceSorbonne Univ, Inst Math Jussieu, Campus Pierre & Marie Curie,4 Pl Jussieu, F-75252 Paris, France
机构:
Univ Paris 13, Inst Galilee, Lab Analyse Geometrie & Applicat, UMR 7539, F-93430 Villetaneuse, FranceUniv Paris 13, Inst Galilee, Lab Analyse Geometrie & Applicat, UMR 7539, F-93430 Villetaneuse, France
De Thelin, Henry
Tien-Cuong Dinh
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Univ Paris 06, Inst Math Jussieu, UMR 7586, F-75005 Paris, FranceUniv Paris 13, Inst Galilee, Lab Analyse Geometrie & Applicat, UMR 7539, F-93430 Villetaneuse, France