20 citations · 51 across the 9 of their papers we have counts for
9 papers
Geometry of two- and three-dimensional integrable systems related to affine Weyl groups and
Jaume Alonso, Yuri B. Suris
We find a general framework for the construction of birational involutions on two- and three-dimensional varieties obtained from , , and…
The twisting index in semitoric systems
Jaume Alonso, Sonja Hohloch, Joseph Palmer
Semitoric integrable systems were symplectically classified by Pelayo and Vu Ngoc in 2009-2011 in terms of five invariants. Four of these invariants were already well-understood pr…
Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups II. 3D examples
Jaume Alonso, Yuri B. Suris, Kangning Wei
The goal of this paper is the exact computation of the degrees of the iterates of birational maps . In the preceding…
Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups I. General theory and 2D examples
Jaume Alonso, Yuri B. Suris, Kangning Wei
In this paper we address the problem of computing , the degrees of iterates of a birational map . For this goal, we develop…
A three-dimensional generalization of QRT maps
Jaume Alonso, Yuri B. Suris, Kangning Wei
We propose a geometric construction of three-dimensional birational maps that preserve two pencils of quadrics. The maps act as compositions of involutions, which, in turn, act alo…
The height invariant of a four-parameter semitoric system with two focus-focus singularities
Jaume Alonso, Sonja Hohloch
Semitoric systems are a special class of completely integrable systems with two degrees of freedom that have been symplectically classified by Pelayo and Vu Ngoc about a decade ago…
Survey on recent developments in semitoric systems
Jaume Alonso, Sonja Hohloch
Semitoric systems are a special class of four-dimensional completely integrable systems where one of the first integrals generates an -action. They were classified by…
Symplectic classification of coupled angular momenta
Jaume Alonso, Holger R. Dullin, Sonja Hohloch
The coupled angular momenta are a family of completely integrable systems that depend on three parameters and have a compact phase space. They correspond to the classical version o…
Taylor series and twisting-index invariants of coupled spin-oscillators
Jaume Alonso, Holger R. Dullin, Sonja Hohloch
About six years ago, semitoric systems on 4-dimensional manifolds were classified by Pelayo & Vu Ngoc by means of five invariants. A standard example of such a system is the couple…