Geodesic
Frameworks for two-dimensional Keller maps
Alexander Borisov1
1Binghamton University
The electronic journal of combinatorics, Tome 27 (2020) no. 3
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

The classical Jacobian Conjecture asserts that every locally invertible polynomial self-map of the complex affine space is globally invertible. A Keller map is a (hypothetical) counterexample to the Jacobian Conjecture. In dimension two every such map, if exists, leads to a map between the Picard groups of suitable compactifications of the affine plane, that satisfy a complicated set of conditions. This is essentially a combinatorial problem. Several solutions to it ("frameworks") are described in detail. Each framework corresponds to a large system of equations, whose solution would lead to a Keller map.
DOI : 10.37236/9210
Classification : 14R15, 14J26, 14E30, 14E05, 05C05

Alexander Borisov  1

1 Binghamton University 
@article{10_37236_9210,
     author = {Alexander Borisov},
     title = {Frameworks for two-dimensional {Keller} maps},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {3},
     doi = {10.37236/9210},
     zbl = {1442.14189},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/9210/}
}
TY  - JOUR
AU  - Alexander Borisov
TI  - Frameworks for two-dimensional Keller maps
JO  - The electronic journal of combinatorics
PY  - 2020
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.37236/9210/
DO  - 10.37236/9210
ID  - 10_37236_9210
ER  - 
%0 Journal Article
%A Alexander Borisov
%T Frameworks for two-dimensional Keller maps
%J The electronic journal of combinatorics
%D 2020
%V 27
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/9210/
%R 10.37236/9210
%F 10_37236_9210
Alexander Borisov. Frameworks for two-dimensional Keller maps. The electronic journal of combinatorics, Tome 27 (2020) no. 3. doi: 10.37236/9210

Cité par Sources :