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The Massey vanishing conjecture for number fields
- Source :
- Duke Mathematical Journal, Duke Mathematical Journal, Duke University Press, In press
- Publication Year :
- 2023
- Publisher :
- Duke University Press, 2023.
-
Abstract
- A conjecture of Min\'a\v{c} and T\^an predicts that for any n>2, any prime p and any field k, the Massey product of n Galois cohomology classes in H^1(k,Z/pZ) must vanish if it is defined. We establish this conjecture when k is a number field.<br />Comment: 33 pages; improved exposition, final version
- Subjects :
- Mathematics - Algebraic Geometry
Mathematics - Number Theory
Mathematics::Number Theory
General Mathematics
FOS: Mathematics
[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Number Theory (math.NT)
Algebraic Geometry (math.AG)
Mathematics::Algebraic Topology
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Subjects
Details
- ISSN :
- 00127094
- Volume :
- 172
- Database :
- OpenAIRE
- Journal :
- Duke Mathematical Journal
- Accession number :
- edsair.doi.dedup.....b62b697fc231a4f221a87fe511ee569c
- Full Text :
- https://doi.org/10.1215/00127094-2022-0004