English

Tilting bundles on orders on $P^d$

Representation Theory 2015-08-13 v5 Algebraic Geometry

Abstract

We introduce a class of orders on PdP^d called Geigle-Lenzing orders and show that they have tilting bundles. Moreover we show that their module categories are equivalent to the categories of coherent sheaves on Geigle-Lenzing spaces introduced in Herschend, Iyama, Minamoto and Oppermann.

Keywords

Cite

@article{arxiv.1306.5867,
  title  = {Tilting bundles on orders on $P^d$},
  author = {Osamu Iyama and Boris Lerner},
  journal= {arXiv preprint arXiv:1306.5867},
  year   = {2015}
}

Comments

Fixed some small mistakes and updated the references

R2 v1 2026-06-22T00:39:48.005Z