Integrability of Discrete Equations Modulo a Prime

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2013
• 1. Verfasser: Kanki, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2013
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/149351
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Integrability of Discrete Equations Modulo a Prime / M. Kanki // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 18 назв. — англ.

We apply the ''almost good reduction'' (AGR) criterion, which has been introduced in our previous works, to several classes of discrete integrable equations. We verify our conjecture that AGR plays the same role for maps of the plane define over simple finite fields as the notion...