Abstract
In this paper we prove that if the $r$-th tensor power of the tangent bundle of a smooth projective variety $X$ contains the determinant of an ample vector bundle of rank at least $r$, then $X$ is isomorphic either to a projective space or to a smooth quadric hypersurface. Our result generalizes Mori's, Wahl's, Andreatta-Wiśniewski's and Araujo-Druel-Kovács's characterizations of projective spaces and hyperquadrics.
Citation
Stéphane Druel. Matthieu Paris. "Characterizations of projective spaces and hyperquadrics." Asian J. Math. 17 (4) 583 - 596, November 2013.
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