1. On secant dimensions and identifiability of Flag varieties
- Author
-
Alex Massarenti, Alex Casarotti, and Ageu Barbosa Freire
- Subjects
Mathematics - Differential Geometry ,Pure mathematics ,Algebra and Number Theory ,Mathematics::Commutative Algebra ,Mathematics::History and Overview ,Flag varieties ,NO ,Mathematics - Algebraic Geometry ,Mathematics::Algebraic Geometry ,Secant varieties ,Dimension (vector space) ,Differential Geometry (math.DG) ,FOS: Mathematics ,Identifiability ,Point (geometry) ,14N05, 14N15, 14M15 (Primary), 14E05, 15A69, 15A75 (Secondary) ,Mathematics::Representation Theory ,Algebraic Geometry (math.AG) ,Vector space ,Mathematics ,Flag (geometry) - Abstract
We investigate the secant dimensions and the identifiablity of flag varieties parametrizing flag of sub vector spaces of a fixed vector space. We give numerical conditions ensuring that secant varieties of flag varieties have the expected dimension, and that a general point on these secant varieties is identifiable.
- Published
- 2019
- Full Text
- View/download PDF