zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Monodromy of certain Painlevé-VI transcendents and reflection groups. (English) Zbl 0960.34075
This very extensive paper presents the particular case $\text{PVI}\mu$ of the Painlevé VI equation $\text{PVI}(\alpha, \beta,\mu,\delta)$, with $\alpha= {(2\mu- 1)^2\over 2}$, $\beta= \gamma=0$, $\delta={1\over 2}$. The single paragraphs of the paper are heading as follows: 1.1 Painlevé VI equation as isomonodromy deformation equation. 1.2 The structure of the analytic continuation. 1.3 Monodromy data and finite-branching solutions of the $\text{PVI}\mu$ equation. 1.4 Monodromy data and reflection groups. 2.0 Global structure of the solutions of Painlevé $\text{VI}\mu$ having critical behaviour of algebraic type. 2.1 Local theory of the solutions of $\text{PVI}\mu$ having critical behaviour of algebraic type. 2.2 The local asymptotic behaviour and the monodromy group of the Fuchsian system. 2.3 From the local asymptotic behaviour to the global one. 2.4 The complete list of algebraic solutions.

34M55Painlevé and other special equations; classification, hierarchies
34M35Singularities, monodromy, local behavior of solutions, normal forms
Full Text: DOI arXiv