TY  - BOOK
AU  - Burban,Igor
AU  - Drozd,Yuriy
TI  - Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems
T2  - Memoirs of the American Mathematical Society
SN  - 9781470425371 (pbk. : alk. paper)
U1  - 510 23
PY  - 2017///
CY  - Providence : 
PB  - American Mathematical Society, 
KW  - Cohen-Macaulay modules
KW  - Modules (Algebra)
KW  - Singularities (Mathematics)
KW  - Matrices
N1  - "Volume 248, number 1178 (fourth of 5 numbers), July 2017."; Includes bibliographical references; Introduction, motivation, and historical remarks -- 
1. Generalities on maximal Cohen-Macaulay modules -- 
2. Category of triples in dimension one -- 
3. Main construction -- 
4. Serre quotients and proof of main theorem -- 
5. Singularities obtained by gluing cyclic quotient singularities -- 6. Maximal Cohen-Macaulay modules over k[x,y,z]/(x p2 s+y p3 s-xyz) -- 
7. Representations of decorated bundles of chans - I -- 
8. Maximal Cohen-Macaulay modules over degenerate cusps - I -- 
9. Maximal Cohen-Macaulay modules over degenerate cusps - II -- 
10. Schreyer's question -- 
11. Remarks on rings of discrete and tame CM-representation type -- 
12. Representations of decorated bunches of chans - II
N2  - Develops a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, the authors give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable maximal Cohen-Macaulay modules.
ER  -