ct. The present paper provides a geometric characterization of complete flag varieties for semisimple algebraic groups. Namely, we show that if X is a Fano manifold whose elementary contractions are all P1-fibrations then X is isomorphic to the complete flag manifold G/B, where G is a semi-simple Lie algebraic group and B is a Borel subgroup of G.
Fano manifolds whose elementary contractions are smooth P^1-fibrations: a geometric characterization of flag varieties / Occhetta, Gianluca; Sola Conde, Eduardo Luis; Watanabe, Kiwamu; Wisniewski, Jaroslaw A.. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 2017 XVII:2(2017), pp. 573-607. [10.2422/2036-2145.201508_007]
Fano manifolds whose elementary contractions are smooth P^1-fibrations: a geometric characterization of flag varieties
Occhetta, Gianluca;Sola Conde, Eduardo Luis;
2017-01-01
Abstract
ct. The present paper provides a geometric characterization of complete flag varieties for semisimple algebraic groups. Namely, we show that if X is a Fano manifold whose elementary contractions are all P1-fibrations then X is isomorphic to the complete flag manifold G/B, where G is a semi-simple Lie algebraic group and B is a Borel subgroup of G.| File | Dimensione | Formato | |
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