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Examples of diffeomorphic complete intersections with different Hodge numbers

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arxiv 2004.07142 v1 pith:HOQ54AA6 submitted 2020-04-15 math.DG math.AT

Examples of diffeomorphic complete intersections with different Hodge numbers

Jianbo Wang , Zhiwang Yu , Yuyu Wang This is my paper
classification math.DG math.AT
keywords completeintersectionscomplexdiffeomorphicdifferenthodgenumberspair
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In this paper, we give three pairs of complex 3-dim complete intersections and a pair of complex 5-dim complete intersections, and every pair of them is diffeomorphic but with different Hodge numbers. Moreover, the diffeomorphic complex 3-dim complete intersections have different Chern mumbers $c_1^3, c_1c_2$.

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