Total positivity criteria for partial flag varieties

TL;DR

This paper establishes new total positivity criteria for partial flag varieties associated with simply-connected complex algebraic groups in the simply laced case, expanding understanding of positivity conditions in algebraic geometry.

Contribution

It introduces a novel family of total positivity criteria specifically for partial flag varieties in the simply-laced case, advancing the theoretical framework.

Findings

New total positivity criteria for partial flag varieties

Criteria applicable to simply-connected complex algebraic groups

Enhances understanding of positivity in algebraic geometry

Abstract

We prove a new family of total positivity criteria for partial flag varieties for simply-connected complex algebraic group in the simply laced case.