Non-Ulrich representation type
Algebraic Geometry
2021-01-15 v2 Commutative Algebra
Abstract
We show that a smooth projective non-degenerate arithmetically Cohen-Macaulay subvariety X of P^N infinite Cohen-Macaulay type becomes of finite Cohen-Macaulay type by removing Ulrich bundles if and only if N = 5 and X is a quartic scroll or the Segre product of a line and a plane. In turn, we give a complete and explicit classification of ACM bundles over these varieties.
Cite
@article{arxiv.1907.02694,
title = {Non-Ulrich representation type},
author = {Daniele Faenzi and Francesco Malaspina and Giangiacomo Sanna},
journal= {arXiv preprint arXiv:1907.02694},
year = {2021}
}