The algebraic dynamics of the pentagram map
From MaRDI portal
Publication:6068350
DOI10.1017/etds.2022.82arXiv2104.06211OpenAlexW3153093280MaRDI QIDQ6068350
Publication date: 15 December 2023
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.06211
Relationships between algebraic curves and integrable systems (14H70) Rational and birational maps (14E05) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integrable cluster dynamics of directed networks and pentagram maps
- Pentagrams, inscribed polygons, and Prym varieties
- Discrete integrable equations over finite fields
- On singularity confinement for the pentagram map
- Liouville-Arnold integrability of the pentagram map on closed polygons
- Integrability of higher pentagram maps
- Integrability of the pentagram map
- The devron property
- \(T\)-systems and the pentagram map
- Non-integrability vs. integrability in pentagram maps
- The pentagram map and \(Y\)-patterns
- Elementary surprises in projective geometry
- Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve
- Discrete monodromy, pentagrams, and the method of condensation
- Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2--14, 2003
- On generalizations of the pentagram map: discretizations of AGD flows
- Existence of non-preperiodic algebraic points for a rational self-map of infinite order
- Invariants of a group in an affine ring
- Pentagram maps and refactorization in Poisson-Lie groups
- A combinatorial model for reversible rational maps over finite fields
- Lectures on Resolution of Singularities (AM-166)
- Néron Models
- Geometric Invariant Theory
- Introduction to Classical Integrable Systems
- Loop Groups, Clusters, Dimers and Integrable Systems
- Diophantine integrability
- The Hirota equation over finite fields: algebro-geometric approach and multisoliton solutions
- Cross Ratio Variety as a Moduli Space of Cubic Surfaces
- The pentagram map, Poncelet polygons, and commuting difference operators
- Current trends and open problems in arithmetic dynamics
- Integrable systems and number theory in finite characteristic
- The pentagram map: a discrete integrable system
This page was built for publication: The algebraic dynamics of the pentagram map