Geometry of varieties for graded maximal Cohen–Macaulay modules

Geometry of varieties for graded maximal Cohen–Macaulay modules

We study a variety for graded maximal Cohen–Macaulay modules, which was introduced by Dao and Shipman. The main result of this paper asserts that there are only a finite number of isomorphism classes of graded maximal Cohen–Macaulay modules with fixed Hilbert series over Cohen–Macaulay algebras of g...

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Veröffentlicht in:Manuscripta mathematica 2022-01, Vol.167 (1-2), p.377-384
1. Verfasser: Hiramatsu, Naoya
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Isomorphism
Lie Groups
Mathematics
Mathematics and Statistics
Modules
Number Theory
Topological Groups
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Zusammenfassung:We study a variety for graded maximal Cohen–Macaulay modules, which was introduced by Dao and Shipman. The main result of this paper asserts that there are only a finite number of isomorphism classes of graded maximal Cohen–Macaulay modules with fixed Hilbert series over Cohen–Macaulay algebras of graded countable representation type.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-021-01282-x