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Smooth horospherical varieties of Picard number one as linear sections of rational homogeneous varieties
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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.
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.
참고문헌 (8)
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- J.-M. Hwang, "Algebraic transformation groups and algebraic varieties", pp.37~58 (2004), Springer-Verlag
- J.-M. Hwang, "Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under K¨ahler deformation", Invent. Math, 160(3), pp.591~645 (2005)
- G. R. Kempf, "On the collapsing of homogeneous bundles", Invent. Math, 37(3), pp.229~239 (1976)
- J. M. Landsberg, "On the projective geometry of rational homogeneous varieties", Comment. Math. Helv, 78(1), pp.65~100 (2003)
- I. A. Mihai, "Odd symplectic flag manifolds", Transform. Groups, 12(3), pp.573~599 (2007)
- B. Pasquier, "On some smooth projective two-orbit varieties with Picard number 1", Math. Ann, 344(4), pp.963~987 (2009)
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