Degrees: Vasconcelos Contributions
Commutative Algebra
2023-05-31 v1
Abstract
A degree of a module is a numerical measure of information carried by . We highlight some of Vasconcelos' outstanding contributions to the theory of degrees, bridging commutative algebra and computational algebra. We present several degrees he introduced and developed, including arithmetic degree, jdeg, homological degree, cohomological degrees, canonical degree and bi-canonical degree. For the canonical and bi-canonical degrees we discuss recent developments motivated by our joint works.
Cite
@article{arxiv.2305.18579,
title = {Degrees: Vasconcelos Contributions},
author = {Laura Ghezzi and Jooyoun Hong},
journal= {arXiv preprint arXiv:2305.18579},
year = {2023}
}