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An introduction to Noncommutative Projective Geometry

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arxiv 1403.3065 v1 pith:JQ2X7ELT submitted 2014-03-12 math.RA

D. Rogalski This is my paper · ORCID
classification math.RA
keywords noncommutativegeometryprojectivealgebraalgebraicalgebrasartin-schelterassociated
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These notes are an expanded version of the author's lectures at the graduate workshop "Noncommutative Algebraic Geometry" at the Mathematical Sciences Research Institute in June 2012. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Koszul Duality for Coherent Sheaves

    math.AG 2026-07 reject novelty 5.0 of 10

    For a Koszul quotient Λ of a polynomial ring, the derived category of coherent sheaves on Proj(Λ) is claimed to be equivalent to a quotient of derived categories over the Koszul dual Λ!.

  2. Some open problems in the context of skew PBW extensions and semi-graded rings

    math.RA 2019-08 conditional novelty 5.0 of 10

    A Serre-type category equivalence is claimed for semi-graded rings under a noetherian and underexplained X1 condition, and a degenerate class of semi-graded Artin-Schelter algebras is identified.

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