M. F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc, vol.7, issue.3, pp.414-452, 1957.

M. Chiara-brambilla and D. Faenzi, Moduli spaces of rank-2 ACM bundles on prime Fano threefolds, Mich. Math. J, vol.60, issue.1, pp.113-148, 2011.

E. Ballico and F. Malaspina, Regularity and cohomological splitting conditions for vector bundles on multiprojective spaces, J. Algebra, vol.345, pp.137-149, 2011.

G. Casnati, D. Faenzi, and F. Malaspina, Rank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section, J. Pure Appl. Algebra, vol.222, issue.3, pp.585-609, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01660679

L. Costa, R. M. Miró-roig, and J. Pons-llopis, The representation type of Segre varieties, Adv. Math, vol.230, pp.1995-2013, 2012.

D. Eisenbud and J. Herzog, The classification of homogeneous CohenMacaulay rings of finite representation type, Math. Ann, vol.280, issue.2, pp.347-352, 1988.

P. Ellia and A. Hirschowitz, Voie ouest. I. Génération de certains fibrés sur les espaces projectifs et application, J. Algebraic Geom, vol.1, issue.4, pp.531-547, 1992.

D. Eisenbud and F. Schreyer, Betti numbers of graded modules and cohomology of vector bundles, J. Amer. Math. Soc, vol.22, issue.3, pp.859-888, 2009.

D. Eisenbud, F. Schreyer, and J. Weyman, Resultants and Chow forms via exterior syzygies, J. Amer. Math. Soc, vol.16, issue.3, pp.537-579, 2003.

D. Faenzi and F. Malaspina, Surfaces of minimal degree of tame representation type and mutations of Cohen-Macaulay modules, Adv. Math, vol.310, pp.663-695, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01557908

D. Faenzi and J. Pons-llopis, The CM representation type of projective varieties. ArXiv e-print math, 2015.

L. Alexey, S. A. Gorodentsev, and . Kuleshov, Helix theory, Mosc. Math. J, vol.4, issue.2, pp.377-440, 2004.

G. Victor and . Kac, Infinite root systems, representations of graphs and invariant theory, Invent. Math, vol.56, issue.1, pp.57-92, 1980.

R. , The representation type of rational normal scrolls, Rend. Circ. Mat. Palermo, vol.62, issue.2, pp.153-164, 2013.

O. Frank, D. Schreyer, and . Eisenbud, Betti numbers of syzygies and cohomology of coherent sheaves, Proceedings of the International Congress of Mathematicians, vol.II, pp.586-602, 2010.

D. Faenzi, BP, vol.47870

D. Cedex, France e-mail: daniele.faenzi@u-bourgogne.fr

F. Malaspina, D. Di-scienze-matematiche, and P. Di-torino, Corso Duca degli Abruzzi, vol.24

. Torino, Italy e-mail: francesco.malaspina@polito.it

G. Sanna,