Curves contracted by the Gauss map

نویسندگان

چکیده

Given a singular projective variety in some space, we characterize the smooth curves contracted by Gauss map terms of normal bundles. As consequence, show that if is not linear, then line always has local obstruction for embedded deformation and each component Hilbert scheme where lies non-reduced everywhere.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2022

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2022.108490