Work

Birational maps, PBW degenerate flags and poset polytopes

Year: 2025

Type: article

Abstract: We extend the results on the graph closures of the birational maps between projective spaces and Grassmannians to the case of PBW degenerate flag varieties. The advantage of the PBW degenerate flags (as opposed to their classical analogues) is the existence of a large group of symmetries for the graph closures. We discuss the combinatorial, algebraic and geometric sides of the picture. In particular, we show that toric degenerations of Borovik, Sturmfels and Sverrisdóttir are still available in the general settings. We also derive a description of the graph closures for flag varieties in terms of quiver representations.

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2025.02.039

Author: Evgeny Feigin

Institution: Tel Aviv University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funder: Israel Science Foundation