Comparing two Proj-like constructions on toric varieties

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. (c) 2023 Elsevier B.V. All rights reserved.

Automated summary

This paper explores the relation between Perling's toric Proj of a multigraded ring A and Brenner and Schroer's homogeneous spectrum ProjMH A of the same ring. It shows that there is always a canonical open embedding and studies a criterion for them to be isomorphic.