Manin involutions for elliptic pencils and discrete integrable systems
| العنوان: | Manin involutions for elliptic pencils and discrete integrable systems |
|---|---|
| المؤلفون: | Matteo Petrera, Kangning Wei, Yuri B. Suris, René Zander |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Pure mathematics, Integrable system, Degree (graph theory), Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, 030206 dentistry, Mathematical Physics (math-ph), Base (topology), 01 natural sciences, 03 medical and health sciences, Elliptic curve, Mathematics - Algebraic Geometry, 0302 clinical medicine, Quadratic equation, Mathematics::Algebraic Geometry, 0103 physical sciences, FOS: Mathematics, Geometry and Topology, Exactly Solvable and Integrable Systems (nlin.SI), ddc:510, 010306 general physics, Algebraic Geometry (math.AG), Special geometry, Mathematical Physics, Mathematics |
| الوصف: | We contribute to the algebraic-geometric study of discrete integrable systems generated by planar birational maps: (a) we find geometric description of Manin involutions for elliptic pencils consisting of curves of higher degree, birationally equivalent to cubic pencils (Halphen pencils of index 1), and (b) we characterize special geometry of base points ensuring that certain compositions of Manin involutions are integrable maps of low degree (quadratic Cremona maps). In particular, we identify some integrable Kahan discretizations as compositions of Manin involutions for elliptic pencils of higher degree. 22 pp, 3 figures |
| وصف الملف: | application/pdf |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e34d1f1e66f7f0f12dbefff128fdae95 http://arxiv.org/abs/2008.08308 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....e34d1f1e66f7f0f12dbefff128fdae95 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |