English

Torus orbit closures and 1-strip-less tableaux

Combinatorics 2024-01-23 v3 Algebraic Geometry

Abstract

We compare two formulas for the class of a generic torus orbit closure on the Grassmannian, due to Klyachko and Berget-Fink. The naturally emerging combinatorial objects are semi-standard fillings we call 1-strip-less tableaux.

Keywords

Cite

@article{arxiv.2305.11289,
  title  = {Torus orbit closures and 1-strip-less tableaux},
  author = {Carl Lian},
  journal= {arXiv preprint arXiv:2305.11289},
  year   = {2024}
}

Comments

20 pages, revised after referee comments. Detailed appendix added (formerly lemma 6). Some details and examples added to proofs, Proposition 11 corrected

R2 v1 2026-06-28T10:38:41.427Z