Maximal Cohen-Macaulay modules over the cone of an elliptic curve

Journal of Algebra

Volumn 253, Issue 2, 2002, Pages 209-236

  Laza, Radu ^a   Pfister, Gerhard ^a   Popescu, Dorin ^b  

^a University of Kaiserslautern ^*  (Germany)

^b UNIVERSITY OF BUCHAREST   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037101524     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00052-2     Document Type: Article

References (16)

1. M.F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. 7 (3) (1957) 415-452.
2. C.P. Kahn, Reflexive modules on minimally elliptic singularities, Math. Ann. 285 (1989) 141-160.
3. D. Eisenbud, Homological algebra with an application to group representations, Trans. Amer. Math. Soc. 260 (1980) 35-64.
4. C.P. Kahn, Reflexive moduln auf einfach-elliptischen Flächensingularitäten, Dissertation, Universität Bonn, 1987, Bonner Math. Schriften 188 (1988).
5. Y. Yoshino, Cohen-Macaulay Modules over Cohen-Macaulay Rings, London Math. Soc. Lecture Note Ser., Vol. 146, Cambridge, 1990.
6. J. Herzog, M. Kühl, Maximal Cohen-Macaulay modules over Gorenstein rings and Bourbaki sequences, in: Commutative Algebra and Combinatorics, Adv. Stud. Pure Math., Vol. 11, 1987, pp. 65-92.
7. Y. Yoshino, Tensor product of matrix factorizations, Nagoya Math. J. 152 (1998) 39-56.
8. R. Hartshorne, Algebraic Geometry, Springer-Verlag, New York, 1977.
9. W. Bruns, J. Herzog, Cohen-Macaulay Rings, Cambridge University Press, Cambridge, 1993.
10. S.L. Kleiman, J. Landolfi, Geometry and deformation of special Schubert varieties, in: F. Oort (Ed.), Algebraic Geometry, Oslo, 1970.
11. N. Bourbaki, Commutative Algebra, Addison-Wesley, Reading, MA, 1972, Chapter VII.
12. R.-O. Buchweitz, G.-M. Greuel, F.-O. Schreyer, Cohen-Macaulay modules on hypersurface singularities II, Invent. Math. 88 (1987) 165-182.
13. T. Kawamoto, Y. Yoshino, The fundamental module of a normal local domain of dimension 2, Trans. Amer. Math. Soc. 309 (1988) 425-431.
14. 3 with few generators, Math. Rep. 3 (53) 2 (2001) 177-185.
15. D. Eisenbud, On the resiliency of determinantal ideals, in: Commutative Algebra and Combinatorics, Adv. Stud. Pure Math., Vol. 11, 1987, pp. 29-38.
16. G.-M. Greuel, G. Pfister, H. Schönemann, SINGULAR, A System for Polynomial Computations, version 1.2, User Manual, in: Reports on Computer Algebra, No. 21. Centre for Computer Algebra, University of Kaiserslautern, June 1998. The programme is available via ftp. SINGULAR Home Page.