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Algebraicity of formal varieties and positivity of vector bundles

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Abstract

We propose a positivity condition for vector bundles on a projective variety and prove an algebraicity criterion for formal schemes. Then we apply the algebraicity criterion to the study of formal principle in algebraic geometry.

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  1. Institut de Mathématiques de Jussieu, Université Paris Diderot Paris 7, Paris, France

    Huayi Chen

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Chen, H. Algebraicity of formal varieties and positivity of vector bundles. Math. Ann. 354, 171–192 (2012). https://doi.org/10.1007/s00208-011-0731-7

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