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Hilbert coefficients and Sally modules: a survey of Vasconcelos’ contributions
Resource type
Authors/contributors
- Hong, Jooyoun (Author)
- Morey, Susan (Author)
Title
Hilbert coefficients and Sally modules: a survey of Vasconcelos’ contributions
Abstract
This paper surveys and summarizes Wolmer Vasconcelos’ results surrounding multiplicities, Hilbert coefficients, and their extensions. We particularly focus on Vasconcelos’ results regarding multiplicities and Chern coefficients, and other invariants which they bound. The Sally module is an important instrument introduced by Vasconcelos for this study, which naturally relates Hilbert coefficients to reduction numbers. ©2025 Walter de Gruyter GmbH,Berlin/Boston.
Proceedings Title
De Gruyter Proc. Math.
Conference Name
De Gruyter Proceedings in Mathematics
Publisher
Walter de Gruyter GmbH
Date
2025
Pages
97-132
ISBN
978-3-11-100009-1
Short Title
Hilbert coefficients and Sally modules
Language
English
Library Catalog
Scopus
Extra
Journal Abbreviation: De Gruyter Proc. Math.
Citation
Hong, J., & Morey, S. (2025). Hilbert coefficients and Sally modules: a survey of Vasconcelos’ contributions. De Gruyter Proc. Math., 97–132. https://doi.org/10.1515/9783110999365-004
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