Comparing two Proj-like constructions on toric varieties

Published 1 Dec 2022 in math.AG | (2212.00314v2)

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.

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