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math.SG2023
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…
math.DS2023
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…
math.DS2023
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…