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arXiv · 2305.18579

Degrees: Vasconcelos Contributions

Laura Ghezzi·Jooyoun Hong
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Abstract

A degree of a module $M$ is a numerical measure of information carried by $M$. 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.

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Laura Ghezzi, Jooyoun Hong. 2023-05-29. Degrees: Vasconcelos Contributions. https://arxiv.org/abs/2305.18579

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