Equi-dimensionalization via subdivision of simplices
Abstract
We give an alternative proof of Suslin's equi-dimensionalization moving lemma using a different geometric construction.The new construction provides better control of the degrees of the polynomials describing the geometric procedure.The new degree bound can be used to improve an earlier result of Hiroyasu Miyazaki and the present author on algebraic cycles with modulus: the isomorphism in question is now valid for any fixed divisor, without the need to take the limit over thickenings.
Fields of Study & Subjects
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Mathematics and Applications
graph theory and CDMA systems
Publication details
- Journal / source
- ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
- Publisher
- Scuola Normale Superiore - Edizioni della Normale
- Pages
- 17–17
- Publication date
- 25 June 2026
- Language
- EN