✦ LIBER ✦
Maximal Cohen–Macaulay modules over the cone of an elliptic curve
✍ Scribed by Radu Laza; Gerhard Pfister; Dorin Popescu
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 200 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
where k is an algebraically closed field with char k = 3. Using Atiyah bundle classification over elliptic curves we describe the matrix factorizations of the graded, indecomposable reflexive R-modules, equivalently we describe explicitly the indecomposable bundles over the projective curve V (f ) ⊂ P 2 k . Using the fact that over the completion R of R every reflexive module is gradable, we obtain a description of the maximal Cohen-Macaulay modules over R = k❏Y 1 , Y 2 , Y 3 ❑/(f ).