TOPICS ON THE GEOMETRY OF HOMOGENEOUS SPACES

Laurent Manivel (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

This is a survey paper about a selection of results in complex algebraic geometry that appeared in the recent and less recent litterature, and in which rational homogeneous spaces play a prominent rôle. This selection is largely arbitrary and mainly reflects the interests of the author.

Mots clés: Calabi-Yau manifold; Derived category; Hyperk\"ahler manifold; Rational homogeneous space; Grassmannian; Flop; Fano variety; Abelian surface

Domaines: Géométrie algébrique [math.AG]

Laurent Manivel. TOPICS ON THE GEOMETRY OF HOMOGENEOUS SPACES. Acta Mathematica Sinica English Series, 2020, 36 (8), pp.851-872. ⟨hal-02461280⟩