IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
On the shape of possible counterexamples to the Jacobian Conjecture
Autor/es:
VALQUI, CHRISTIAN; GUCCIONE, JORGE A.; GUCCIONE, JUAN J.
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2017 vol. 471 p. 13 - 74
ISSN:
0021-8693
Resumen:
We improve the algebraic methods of Abhyankar for the Jacobian Conjecture in dimension two and describe the shape of possible counterexamples. We give an elementary proof of the result of Heitmann in [5], which states that gcd(deg(P),deg(Q))≥16 for any counterexample (P,Q). We also prove that gcd(deg(P),deg(Q))≠2p for any prime p.
