Matches in SemOpenAlex for { <https://semopenalex.org/work/W2327213147> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2327213147 endingPage "1479" @default.
- W2327213147 startingPage "1443" @default.
- W2327213147 abstract "In this paper we give complete analytic invariants for the set of germs of holomorphic foliations in $(mathbb{C}^{2},0)$ that become regular after a single blow-up. Some of the invariants describe the holonomy pseudogroup of the germ and are called transverse invariants. The other invariants lie in a finite dimensional complex vector space. Such singularities admit separatrices tangentially to any direction at the origin. When enough separatrices are leaves of a radial foliaton (a condition that can always be attained if the multiplicity of the germ at the origin is at most four) we are able to describe and realize all the analytical invariants geometrically and provide analytic normal forms. As a consequence, we prove that any two such germs sharing the same transverse invariants are conjugated by a very particular type of birational transformation. We also provide explicit examples of universal equisingular unfoldings of foliations that cannot be produced by unfolding functions. With these at hand we are able to explicitly parametrize families of analytically distinct foliations that share the same transverse invariants." @default.
- W2327213147 created "2016-06-24" @default.
- W2327213147 creator A5069379048 @default.
- W2327213147 creator A5084407592 @default.
- W2327213147 date "2016-03-23" @default.
- W2327213147 modified "2023-10-05" @default.
- W2327213147 title "Classification of regular dicritical foliations" @default.
- W2327213147 cites W1499799248 @default.
- W2327213147 cites W1601375563 @default.
- W2327213147 cites W2022950184 @default.
- W2327213147 cites W2051424471 @default.
- W2327213147 cites W2064199173 @default.
- W2327213147 cites W2064419493 @default.
- W2327213147 cites W2151661806 @default.
- W2327213147 cites W2475072017 @default.
- W2327213147 cites W2620777003 @default.
- W2327213147 cites W2906772464 @default.
- W2327213147 cites W2909959634 @default.
- W2327213147 cites W2910768243 @default.
- W2327213147 cites W2911774525 @default.
- W2327213147 cites W2963237852 @default.
- W2327213147 doi "https://doi.org/10.1017/etds.2015.123" @default.
- W2327213147 hasPublicationYear "2016" @default.
- W2327213147 type Work @default.
- W2327213147 sameAs 2327213147 @default.
- W2327213147 citedByCount "1" @default.
- W2327213147 countsByYear W23272131472019 @default.
- W2327213147 crossrefType "journal-article" @default.
- W2327213147 hasAuthorship W2327213147A5069379048 @default.
- W2327213147 hasAuthorship W2327213147A5084407592 @default.
- W2327213147 hasBestOaLocation W23272131472 @default.
- W2327213147 hasConcept C127413603 @default.
- W2327213147 hasConcept C12843 @default.
- W2327213147 hasConcept C134306372 @default.
- W2327213147 hasConcept C154954056 @default.
- W2327213147 hasConcept C156004811 @default.
- W2327213147 hasConcept C202444582 @default.
- W2327213147 hasConcept C204575570 @default.
- W2327213147 hasConcept C2780258238 @default.
- W2327213147 hasConcept C32518243 @default.
- W2327213147 hasConcept C33923547 @default.
- W2327213147 hasConcept C66938386 @default.
- W2327213147 hasConceptScore W2327213147C127413603 @default.
- W2327213147 hasConceptScore W2327213147C12843 @default.
- W2327213147 hasConceptScore W2327213147C134306372 @default.
- W2327213147 hasConceptScore W2327213147C154954056 @default.
- W2327213147 hasConceptScore W2327213147C156004811 @default.
- W2327213147 hasConceptScore W2327213147C202444582 @default.
- W2327213147 hasConceptScore W2327213147C204575570 @default.
- W2327213147 hasConceptScore W2327213147C2780258238 @default.
- W2327213147 hasConceptScore W2327213147C32518243 @default.
- W2327213147 hasConceptScore W2327213147C33923547 @default.
- W2327213147 hasConceptScore W2327213147C66938386 @default.
- W2327213147 hasIssue "5" @default.
- W2327213147 hasLocation W23272131471 @default.
- W2327213147 hasLocation W23272131472 @default.
- W2327213147 hasLocation W23272131473 @default.
- W2327213147 hasLocation W23272131474 @default.
- W2327213147 hasLocation W23272131475 @default.
- W2327213147 hasOpenAccess W2327213147 @default.
- W2327213147 hasPrimaryLocation W23272131471 @default.
- W2327213147 hasRelatedWork W2159148273 @default.
- W2327213147 hasRelatedWork W23268088 @default.
- W2327213147 hasRelatedWork W2524313078 @default.
- W2327213147 hasRelatedWork W2897268649 @default.
- W2327213147 hasRelatedWork W2911814645 @default.
- W2327213147 hasRelatedWork W2953585139 @default.
- W2327213147 hasRelatedWork W3153442870 @default.
- W2327213147 hasRelatedWork W3164380044 @default.
- W2327213147 hasRelatedWork W4288288471 @default.
- W2327213147 hasRelatedWork W957167772 @default.
- W2327213147 hasVolume "37" @default.
- W2327213147 isParatext "false" @default.
- W2327213147 isRetracted "false" @default.
- W2327213147 magId "2327213147" @default.
- W2327213147 workType "article" @default.