Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Guccione, Jorge Alberto"'
We list all the pairs $(deg(P),deg(Q))$ with $\max\{deg(P),deg(Q)\}< 125$ for any hypothetical counterexample to the plane Jacobian Conjecture and discard them all, except the pair $(72,108)$ (and the symmetric pair $(108,72)$), thus we confirm the l
Externí odkaz:
http://arxiv.org/abs/2204.14178
For a family of height one orders $(X,\le)$ and each non-degenerate solution $r_0\colon X\times X\longrightarrow X\times X$ of the set-theoretic braid equation on $X$ satisfying suitable conditions, we obtain all the non-degenerate solutions of the b
Externí odkaz:
http://arxiv.org/abs/1712.01940
We translate the results of Yansong Xu into the language of~\cite{GGV1}, obtaining nearly the same formulas for the intersection number of Jacobian pairs, but with an inequality instead of an equality.
Comment: 4 figures, 4 tables, 1 algorithm
Comment: 4 figures, 4 tables, 1 algorithm
Externí odkaz:
http://arxiv.org/abs/1708.09367
We introduce the notion of a non-degenerate solution of the braid equation on the incidence coalgebra of a locally finite order. Each one of these solutions induce by restriction a non-degenerate set theoretic solution over the underlying set. So, it
Externí odkaz:
http://arxiv.org/abs/1701.01752
Publikováno v:
Pro Mathematica, 27, 53-54 (2013), 83-98, ISSN 1012-3938
We analyze a possible minimal counterexample to the Jacobian Conjecture $P,Q$ with $\gcd(deg(P),deg(Q))=16$ and show that its existence depends only on the existence of solutions for a certain Abel differential equation of the second kind.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1310.8249
Autor:
Guccione, Jorge Alberto
Publikováno v:
Biblioteca Digital (UBA-FCEN)
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
Fil: Guccione, Jorge Alberto. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::75a32f4053b3dcb47c5d564836c493d8
Publikováno v:
Communications in Algebra; Jan1994, Vol. 22 Issue 15, p6037-6046, 10p
Publikováno v:
Communications in Algebra; January 1994, Vol. 22 Issue: 15 p6037-6046, 10p
Publikováno v:
In Journal of Pure and Applied Algebra 1994 95(2):131-150