The Cohen-Macaulay representation type of projective arithmetically Cohen-Macaulay varieties

被引：0

作者：

Faenzi, Daniele ^{[1
]}

Pons-Llopis, Joan ^{[2
]}

机构：

[1] Univ Bourgogne & Franche Comte, Inst Math Bourgogne, UMR CNRS 5584, 9 Ave Alain Savary,BP 47870, F-21078 Dijon, France

[2] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy

来源：

EPIJOURNAL DE GEOMETRIE ALGEBRIQUE | 2021年 / 5卷

关键词：

ACM vector sheaves and bundles; Ulrich sheaves; MCM modules; Graded Cohen-Macaulay rings; Representation type; COMPLETE-INTERSECTIONS; ULRICH BUNDLES; MINIMAL DEGREE; CLASSIFICATION; MODULES; CURVES; RINGS; GEOMETRY; POINTS; TAME;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any reduced non-degenerate closed subscheme X subset of P-n of dimension m >= 1 whose graded coordinate ring is Cohen-Macaulay is of wild Cohen-Macaulay type, except for a few cases which we completely classify.

引用

页数：37

共 63 条

[1]

Abhyankar S., 1960, MEM COLL SCI U KYO A, V32, P455

[2] COMPACTIFYING THE PICARD SCHEME [J].