English

Comparing two Proj-like constructions on toric varieties

Algebraic Geometry 2023-04-14 v2

Abstract

The paper explores the relation between Perling's toric Proj of a multigraded ring A associated with a toric variety (tProj A), and Brenner and Schroer's homogeneous spectrum ProjMH A of the same ring. We show that there is always a canonical open embedding and study a criterion for them to be isomorphic.

Cite

@article{arxiv.2212.00314,
  title  = {Comparing two Proj-like constructions on toric varieties},
  author = {Vivek Mohan Mallick and Kartik Roy},
  journal= {arXiv preprint arXiv:2212.00314},
  year   = {2023}
}

Comments

Edited. arXiv admin note: text overlap with arXiv:2112.06444

R2 v1 2026-06-28T07:19:06.648Z