In this paper we study the existence of sections of universal bundles on rational homogeneous varieties–called nestings–classifying them completely on rational homogeneous varieties G/P in the case where G is a simple group of classical type and P is a parabolic subgroup of G. In particular we show that, under this hypothesis, nestings do not exist unless there exists a proper algebraic subgroup of the automorphism group acting transitively on the base variety.

NESTINGS OF RATIONAL HOMOGENEOUS VARIETIES / Munoz, R.; Occhetta, G.; Sola Conde Luis, E.. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - 27/2022:(2022), pp. 189-223. [10.1007/s00031-020-09597-x]

NESTINGS OF RATIONAL HOMOGENEOUS VARIETIES

Occhetta G.;Sola Conde Luis E.
2022

Abstract

In this paper we study the existence of sections of universal bundles on rational homogeneous varieties–called nestings–classifying them completely on rational homogeneous varieties G/P in the case where G is a simple group of classical type and P is a parabolic subgroup of G. In particular we show that, under this hypothesis, nestings do not exist unless there exists a proper algebraic subgroup of the automorphism group acting transitively on the base variety.
Munoz, R.; Occhetta, G.; Sola Conde Luis, E.
NESTINGS OF RATIONAL HOMOGENEOUS VARIETIES / Munoz, R.; Occhetta, G.; Sola Conde Luis, E.. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - 27/2022:(2022), pp. 189-223. [10.1007/s00031-020-09597-x]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/277728
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