English

Explicit Decomposition Theorem for special Schubert varieties

Algebraic Geometry 2019-10-28 v2 Representation Theory

Abstract

We give a short and self-contained proof of the Decomposition Theorem for the non-small resolution of a Special Schubert variety. We also provide an explicit description of the perverse cohomology sheaves. As a by-product of our approach, we obtain a simple proof of the Relative Hard Lefschetz Theorem.

Keywords

Cite

@article{arxiv.1809.08012,
  title  = {Explicit Decomposition Theorem for special Schubert varieties},
  author = {Davide Franco},
  journal= {arXiv preprint arXiv:1809.08012},
  year   = {2019}
}

Comments

This is an extensively revised version of my previous paper, taking care of the referee's comments

R2 v1 2026-06-23T04:13:46.417Z