Comparing two Proj-like constructions on toric varieties

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.

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