Results 71 to 80 of about 574 (169)
Invariant fibrations for some birational maps of ℂ2
, 2021 In this article, we extract and study the zero entropy subfamilies of a certain family of birational maps of the plane.
Zafar, Sundus, Cimà, Anna
core
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
Lie symmetries of birational maps preserving genus 0 fibrations
, 2021 We prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant measures.
Llorens, Mireia, Mañosa, Víctor
core
F‐purity of binomial edge ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In 2012, Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F‐pure. He proved that weakly closed binomial edge ideals are F‐pure whenever the base field has positive characteristic. He conjectured that: (i) when the base field has characteristic 2, every F‐pure binomial edge ideal comes from a ...
Adam LaClair, Jason McCullough
wiley +1 more source
Zero entropy for some birational maps of C²
, 2021 In this study, we consider a special case of the family of birational maps f:C² → C² , which were dynamically classified by [13]. We identify the zero entropy subfamilies of f and explicitly give the associated invariant fibrations.
Zafar, Sundus, Cimà, Anna
core
Dynamical classification of a family of birational maps of C2 via algebraic entropy
, 2021 This work dynamically classifies a 9-parametric family of birational maps f: C→ C. From the sequence of the degrees d of the iterates of f, we find the dynamical degree δ(f) of f.
Zafar, Sundus, Cimà, Anna
core
Birational maps with transcendental dynamical degree
, 2023 We give examples of birational selfmaps of $\mathbb{P}^d, d \geq 3$, whose dynamical degree is a transcendental number. This contradicts a conjecture by Bellon and Viallet.
Diller, Jeffrey +3 more
core +1 more source
Combinatorics of affine birational maps
, 2013 13 pages, 1 figure; v5: minor ...
openaire +2 more sources
Periodic points of birational maps on projective surfaces
, 2012 30 pagesWe classify birational maps of projective smooth surfaces whose non-critical periodic points are Zariski dense. In particular, we show that if the first dynamical degree is greater than one, then the periodic points are Zariski ...
Xie, Junyi
core +1 more source