Guy Casale

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All published works
Action Title Year Authors
+ Minimality of the $\mathcal D$-groupoid of symmetries of a projective structure 2023 Alejandro Arenas Tirado
David Blázquez-Sanz
Guy Casale
+ PDF Chat Spécialisation du groupoïde de Galois d’un champ de vecteurs 2022 Guy Casale
Damien Davy
+ PDF Chat The Malgrange–Galois groupoid of the Painlevé VI equation with parameters 2022 David Blázquez-Sanz
Guy Casale
Juan Sebastián Díaz Arboleda
+ PDF Chat Strong minimality of triangle functions 2022 Guy Casale
Matthew Devilbiss
James Freitag
Joel Nagloo
+ Strong minimality of triangle functions 2022 Guy Casale
Matthew DeVilbiss
James Freitag
Joel Nagloo
+ PDF Chat Volume à la mémoire de Hiroshi Umemura: “Équations de Painlevé et théories de Galois différentielles” 2021 Guy Casale
Lucia Di Vizio
Jean-Pierre Ramis
+ PDF Chat Some functional transcendence results around the Schwarzian differential equation. 2021 David Blázquez-Sanz
Guy Casale
James Freitag
Joel Nagloo
+ PDF Chat A differential approach to the Ax-Schanuel, I 2021 David Blázquez-Sanz
Guy Casale
James Freitag
Joel Nagloo
+ PDF Chat A differential approach to the Ax-Schanuel, I 2021 David Blázquez-Sanz
Guy Casale
James Freitag
Joel Nagloo
+ A differential approach to Ax-Schanuel, I 2021 David Blázquez-Sanz
Guy Casale
James Freitag
Joel Nagloo
+ PDF Chat Some functional transcendence results around the Schwarzian differential equation 2020 David Blázquez-Sanz
Guy Casale
James Freitag
Joel Nagloo
+ PDF Chat Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups 2020 Guy Casale
James Freitag
Joel Nagloo
+ PDF Chat Specialisation of the Galois groupoid of a vector field 2020 Guy Casale
Damien Davy
+ SPÉCIALISATION DU GROUPOÏDE DE GALOIS D'UN CHAMP DE VECTEURS 2020 Guy Casale
Damien Davy
+ Galois groupoid and confluence of difference equations 2020 Guy Casale
Damien Davy
+ Primitive Lie algebras of rational vector fields 2020 Guy Casale
Frank Loray
Jorge Vitório Pereira
Frédéric Touzet
+ Malgrange-Galois groupoid of Painlevé VI equation with parameters 2020 David Blázquez-Sanz
Guy Casale
Juan Sebastián Díaz Arboleda
+ PDF Chat Differential Galois Theory and Isomonodromic Deformations 2019 David Blázquez-Sanz
Guy Casale
Juan Sebastián Díaz Arboleda
+ Some functional transcendence results around the Schwarzian differential equation 2019 David Blázquez-Sanz
Guy Casale
James Freitag
Joel Nagloo
+ PDF Chat Galoisian methods for testing irreducibility of order two nonlinear differential equations 2018 Guy Casale
Jacques-Arthur Weil
+ Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups 2018 Guy Casale
James Freitag
Joel Nagloo
+ PDF Chat Parallelisms & Lie Connections 2017 David Blázquez-Sanz
Guy Casale
+ Simple meromorphic functions are algebraic 2013 Guy Casale
+ A new proof of a theorem of A. Khovanskii 2012 Guy Casale
+ Non-integrability by discrete quadratures 2012 Guy Casale
Julien Roques
+ PDF Chat Liouvillian first integrals of differential equations 2011 Guy Casale
+ PDF Chat Integrability of Hamiltonian systems with homogeneous potentials of degree zero 2009 Guy Casale
Guillaume Duval
Andrzej J. Maciejewski
Maria Przybylska
+ Une preuve galoisienne de l'irréductibilité au sens de Nishioka-Umemura de la 1ère équation de Painlevé 2009 Guy Casale
+ PDF Chat Morales-Ramis Theorems via Malgrange pseudogroup 2009 Guy Casale
+ PDF Chat Le groupoïde de Galois de $P_1$ et son irréductibilité 2008 Guy Casale
+ PDF Chat Dynamics of Rational Symplectic Mappings and Difference Galois Theory 2008 Guy Casale
Julien Roques
+ The Galois groupoid of Picard-Painlevé VI equation 2007 Guy Casale
+ PDF Chat Irréductibilité de la première équation de Painlevé 2006 Guy Casale
+ Enveloppe galoisienne d'une application rationnelle de $\mathbb{P}^{1}$ 2006 Guy Casale
+ PDF Chat Enveloppe galoisienne d’une application rationnelle de $\mathbb{P}^1$ 2006 Guy Casale
+ PDF Chat Feuilletages singuliers de codimension un, groupoïde de Galois et intégrales premières 2006 Guy Casale
+ Enveloppe galoisienne d'une application rationnelle de $\Bbb P^1$ 2006 Guy Casale
+ Le groupo\"{i}de de Galois de $P\_1$ et son irr\'{e}ductibilit\'{e} 2005 Guy Casale
+ Enveloppe galoisienne d'une application rationnelle de P1 2005 Guy Casale
+ Feuilletages singuliers de codimension un, Groupoïde de Galois et intégrales premières 2005 Guy Casale
+ Le groupoïde de Galois de $P\_1$ et son irréductibilité 2005 Guy Casale
+ Sur le groupoide de Galois d'un feuilletage 2004 Guy Casale
+ PDF Chat \mathcal{D}-enveloppe d’un difféomorphisme de (\mathbb{C} , 0) 2004 Guy Casale
+ PDF Chat Suites de Godbillon–Vey et intégrales premières 2002 Guy Casale
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Differential Algebra and Algebraic Groups 2012 E. R. Kolchin
14
+ PDF Chat Les sous-groupes des groupes continus de transformations 1908 Élie Cartan
8
+ On the Irreducibility of the First Differential Equation of Painlevé 1988 Hiroshi Umemura
8
+ PDF Chat A note on the transcendency of Painlevé’s first transcendent 1988 Keiji Nishioka
6
+ Lie Groupoids and Lie Algebroids in Differential Geometry 1987 Kirill C. H. Mackenzie
6
+ PDF Chat Differential Galois theory of infinite dimension 1996 Hiroshi Umemura
6
+ PDF Chat Second proof of the irreducibility of the first differential equation of painlevé 1990 Hiroshi Umemura
5
+ PDF Chat An algebraic model of transitive differential geometry 1964 Victor Guillemin
Shlomo Sternberg
4
+ PDF Chat Integrals for holomorphic foliations with singularities having all leaves compact 1989 Xavier Gómez-Mont
4
+ An algorithm for solving second order linear homogeneous differential equations 1986 J. Kovacic
4
+ Discrete Subgroups of Semisimple Lie Groups 1991 Gregori Aleksandrovitch Margulis
4
+ Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics. I 1983 S. L. Ziglin
4
+ PDF Chat Integrability of Hamiltonian systems and differential Galois groups of higher variational equations 2007 Juan J. Morales-Ruiz
Jean-Pierre Ramis
Carles Simö
4
+ Geometric Stability Theory 1996 Anand Pillay
4
+ A conjecture of Mahler on automorphic functions 1989 Keiji Nishioka
4
+ PDF Chat Solutions of the second and fourth Painlevé equations, I 1997 Hiroshi Umemura
Humihiko Watanabe
4
+ PDF Chat Strong minimality and the $j$-function 2017 James Freitag
Thomas Scanlon
4
+ Mémoire sur les équations différentielles dont l'intégrale générale est uniforme 1900 Paul Painlevé
4
+ PDF Chat Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation 2009 Serge Cantat
Frank Loray
4
+ PDF Chat Le groupoïde de Galois de $P_1$ et son irréductibilité 2008 Guy Casale
4
+ Lectures on Differential Galois Theory 1994 Andy R. Magid
4
+ PDF Chat Minimal invariant varieties and first integrals for algebraic foliations 2006 Philippe Bonnet
4
+ PDF Chat Enveloppe galoisienne d’une application rationnelle de $\mathbb{P}^1$ 2006 Guy Casale
3
+ PDF Chat Permutable rational functions 1923 J. F. Ritt
3
+ Differential orbit spaces of discrete dynamical systems 2005 Alexandru Buium
Ken Zimmerman
3
+ PDF Chat O-minimality and the André-Oort conjecture for C^n 2011 Jonathan Pila
3
+ PDF Chat Arithmetic triangle groups 1977 Kisao Takeuchi
3
+ Différentielles non commutatives et théorie de Galois différentielle ou aux différences 2001 Y André
3
+ PDF Chat Polynomial Hamiltonians associated with Painlevé equations, I 1980 Kazuo Okamoto
3
+ PDF Chat Galois theory of parameterized differential equations and linear differential algebraic groups 2006 Phyllis J. Cassidy
Michael F. Singer
3
+ PDF Chat Classical solutions of the third Painlevé equation 1995 Yoshihiro Murata
3
+ PDF Chat Discontinuous Groups and Automorphic Functions 1964 Joseph Lehner
3
+ PDF Chat Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups 2020 Guy Casale
James Freitag
Joel Nagloo
3
+ Algebraic solutions of the sixth Painlevé equation 2014 O. Lisovyy
Yuriy Tykhyy
3
+ Birational canonical transformations and classical solutions of the sixth Painlevé equation 1998 Humihiko Watanabe
3
+ PDF Chat Sur la théorie de Galois et ses diverses généralisations 1904 Ernest Vessiot
3
+ Introduction to the Arithmetic Theory of Automorphic Functions 1972 Marvin Tretkoff
Goro Shimura
3
+ PDF Chat Solutions of the third Painlevé equation I 1998 Hiroshi Umemura
Humihiko Watanabe
3
+ PDF Chat Stable embeddedness and <i>NIP</i> 2011 Anand Pillay
2
+ PDF Chat Maximal Fuchsian groups 1963 Leon A. Greenberg
2
+ PDF Chat Local properties of intransitive infinite Lie algebra sheaves 1979 Kazuhiro Kiso
2
+ ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD 1980 G. V. Belyi
2
+ PDF Chat Galois theory of aigebraic and differential equations 1996 Hiroshi Umemura
2
+ Ergodic Theory and Semisimple Groups 1984 Robert J. Zimmer
2
+ PDF Chat Strongly Minimal Sets and Geometry 2017 David R. Marker
2
+ PDF Chat None 1998 B.J. Moonen
2
+ DIFFERENTIAL ALGEBRAIC GROUPS 2010 Bernard Malgrange
2
+ PDF Chat Theorie der Transformationsgruppen I 1880 Sophus Lie
2
+ A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations 2006 Yousuke Ohyama
Shoji Okumura
2
+ The classification of the semisimple differential algebraic groups and the linear semisimple differential algebraic Lie algebras 1989 Phyllis J. Cassidy
2