Work

Twisted Tensor Product, Smooth DG Algebras, and Noncommutative Resolutions of Singular Curves

Year: 2024

Type: article

Abstract: New families of algebras and DG algebras with two simple modules are introduced and described. Using the twisted tensor product operation, we prove that such algebras have finite global dimension, and that the resulting DG algebras are smooth. This description allows us to show that some of these DG algebras determine smooth proper noncommutative curves that provide smooth minimal noncommutative resolutions for singular rational curves.

Source: Functional Analysis and Its Applications

DOI: 10.1134/s001626632404004x

Author: Dmitri Orlov

Institution: Steklov Mathematical Institute

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4406617878

FWCI:

Cites: 23

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Related to: 10