Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2016; 53(2): 433-446

Printed March 1, 2016

https://doi.org/10.4134/JKMS.2016.53.2.433

Copyright © The Korean Mathematical Society.

Smooth horospherical varieties of Picard number one as linear sections of rational homogeneous varieties

Jaehyun Hong

Seoul National University

Abstract

We construct projective embeddings of horospherical varieties of Picard number one by means of Fano varieties of cones over rational homogeneous varieties. Then we use them to give embeddings of smooth horospherical varieties of Picard number one as linear sections of rational homogeneous varieties.

Keywords: horospherical varieties, rational homogeneous varieties, varieties of minimal tangents

MSC numbers: Primary 14M15, 14M17, 14L30

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