The Structure of Ulrich ideals in hypersurfaces
Commutative Algebra
2020-06-04 v2
Abstract
This paper studies Ulrich ideals in hypersurface rings. A characterization of Ulrich ideals is given. Using the characterization, we construct a minimal free resolution of an Ulrich ideal concretely. We also explore Ulrich ideals in a hypersurface ring of the form R = k[[X, Y]]/(f).
Cite
@article{arxiv.1905.02048,
title = {The Structure of Ulrich ideals in hypersurfaces},
author = {Ryotaro Isobe},
journal= {arXiv preprint arXiv:1905.02048},
year = {2020}
}