Geodesic
Motivic Cohomology of Fat Points in Milnor Range
Documenta mathematica, Tome 23 (2018), pp. 759-798
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We introduce a new algebraic-cycle model for the motivic cohomology theory of truncated polynomials k[t]/(tm) in one variable. This approach uses ideas from the deformation theory and non-archimedean analysis, and is distinct from the approaches via cycles with modulus. We compute the groups in the Milnor range when the base field is of characteristic 0, and prove that they give the Milnor K-groups of k[t]/(tm), whose relative part is the sum of the absolute Kähler differential forms.
DOI : 10.4171/dm/633
Classification : 11J61, 14C25, 14D15, 19D45
Mots-clés : motivic cohomology, Milnor K-theory, higher Chow group, algebraic cycle 
@article{10_4171_dm_633,
     author = {Sinan \"Unver and Jinhyun Park},
     title = {Motivic {Cohomology} of {Fat} {Points} in {Milnor} {Range}},
     journal = {Documenta mathematica},
     pages = {759--798},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/633},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/633/}
}
TY  - JOUR
AU  - Sinan Ünver
AU  - Jinhyun Park
TI  - Motivic Cohomology of Fat Points in Milnor Range
JO  - Documenta mathematica
PY  - 2018
SP  - 759
EP  - 798
VL  - 23
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/633/
DO  - 10.4171/dm/633
ID  - 10_4171_dm_633
ER  - 
%0 Journal Article
%A Sinan Ünver
%A Jinhyun Park
%T Motivic Cohomology of Fat Points in Milnor Range
%J Documenta mathematica
%D 2018
%P 759-798
%V 23
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/633/
%R 10.4171/dm/633
%F 10_4171_dm_633
Sinan Ünver; Jinhyun Park. Motivic Cohomology of Fat Points in Milnor Range. Documenta mathematica, Tome 23 (2018), pp. 759-798. doi: 10.4171/dm/633

Cité par Sources :