Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SMOOTH HOROSPHERICAL VARIETIES OF PICARD NUMBER ONE AS LINEAR SECTIONS OF RATIONAL HOMOGENEOUS VARIETIES

  • Hong, Jaehyun (Department of Mathematical Sciences Seoul National University)
  • Received : 2015.03.04
  • Published : 2016.03.01
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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

Acknowledgement

Supported by : NRF

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Cited by

  1. Standard Embeddings of Smooth Schubert Varieties in Rational Homogeneous Manifolds of Picard Number 1 vol.34, pp.3, 2018, https://doi.org/10.1007/s10114-018-7165-z