On secant dimensions and identifiability of Flag varieties

TL;DR

This paper studies the secant dimensions and identifiability of flag varieties, providing numerical conditions for when secant varieties have expected dimensions and are identifiable.

Contribution

It introduces new numerical criteria ensuring secant varieties of flag varieties have expected dimension and are identifiable.

Findings

Secant varieties of flag varieties often have the expected dimension under certain conditions.

General points on these secant varieties are identifiable when conditions are met.

Provides criteria applicable to various types of flag varieties.

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.