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On triple Veronese embeddings of in the Grassmannians

✍ Scribed by Sukmoon Huh

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
121 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We classify all the embeddings of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {P}_n$\end{document} in a Grassmannian Gr(1, N) such that the composition with the Plücker embedding is given by a linear system of cubics on \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {P}_n$\end{document}. As a direct corollary, we prove that every vector bundle giving such an embedding, splits if n ⩾ 3. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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