Výsledky vyhledávání

Hitchin fibration under ramified coverings

Publikováno v: Journal of Pure and Applied Algebra
Journal of Pure and Applied Algebra, 2023, 227 (12), pp.article n°107399. ⟨10.1016/j.jpaa.2023.107399⟩

International audience; We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified covering. Given a degree two map π : Y → X between compact Riemann surfaces, w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91e914177fe3cd105f36c2155c78d99b
http://arxiv.org/abs/2208.10130

Zobrazit plný text záznamu

Deformation of rational curves along foliations

Autor: Frank Loray, Jorge Vitório Pereira, Frédéric Touzet

Publikováno v: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2020, 21 (Special issue), pp.1315-1331
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2020, 21 (Special issue), pp.1315-1331

International audience; Deformation of morphisms along leaves of foliations define the tangential foliation on the corresponding space of morphisms. We prove that codimension one foliations having a tangential foliation with at least one non-algebrai

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6041d8941f27d46ff78751b68201e56c
https://doi.org/10.2422/2036-2145.201712_010

Zobrazit plný text záznamu

Pseudo-groupe d’une singularité de feuilletage holomorphe en dimension deux

Autor: Frank Loray

Publikováno v: Ensaios Matemáticos. 36

Un feuilletage holomorphe singulier, en dimension deux, est localement defini par un champ de vecteur holomorphe a zero isole : les feuilles sont les trajec- toires complexes du champ de vecteur. L’etude des singularites de ces feuilletages, debute

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::72f7cc9f9cb2557cda1ce70d0c1f9707
https://doi.org/10.21711/217504322021/em362

Zobrazit plný text záznamu

Neighborhoods of rational curves without functions

Autor: Maycol Falla Luza, Frank Loray

Publikováno v: Mathematische Annalen
Mathematische Annalen, Springer Verlag, In press, ⟨10.1007/s00208-020-02126-x⟩
Mathematische Annalen, 2022, 382, pp.1047-1058. ⟨10.1007/s00208-020-02126-x⟩

International audience; We prove the existence of (non compact) complex surfaces with a smooth rational curve embedded such that there does not exist any formal singular foliation along the curve. In particular, at arbitray small neighborhood of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d7e5e8cc7270415c628be2e8c7602bd
https://hal.archives-ouvertes.fr/hal-02526096v2/document

Zobrazit plný text záznamu

PAIRS OF FOLIATIONS AND MATTEI-MOUSSU'S THEOREM

Autor: Adjaratou Arame Diaw, Frank Loray

Publikováno v: Bulletin des Sciences Mathématiques
Bulletin des Sciences Mathématiques, Elsevier, 2021, 171, pp.article n°103035. ⟨10.1016/j.bulsci.2021.103035⟩
Bulletin des Sciences Mathématiques, 2021, 171, pp.article n°103035. ⟨10.1016/j.bulsci.2021.103035⟩

International audience; We prove a reduction of singularities for pairs of foliations by blowing-up, and then investigate the analytic classification of the reduced models. Those reduced pairs of regular foliations are well understood. The case of a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::872a0d91156c517bbd4b14491f9873ec
https://hal.archives-ouvertes.fr/hal-02910135

Zobrazit plný text záznamu

A map between moduli spaces of connections

Autor: Valente Ramírez, Frank Loray

Publikováno v: Symmetry, Integrability and Geometry : Methods and Applications
Symmetry, Integrability and Geometry : Methods and Applications, 2020, 16, pp.article n° 125. ⟨10.3842/SIGMA.2020.125⟩
Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2020, 16, pp.article n° 125. ⟨10.3842/SIGMA.2020.125⟩
Symmetry, integrability and geometry : methods and applications (SIGMA), 16:125, 1-42. Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine

We are interested in studying moduli spaces of rank 2 logarithmic connections on elliptic curves having two poles. To do so, we investigate certain logarithmic rank 2 connections defined on the Riemann sphere and a transformation rule to lift such co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e41d5dc1e2dff7f0c9361270874d99d9
https://hal.archives-ouvertes.fr/hal-02338280

Zobrazit plný text záznamu

On the moduli of logarithmic connections on elliptic curves

Autor: Thiago Fassarella, Frank Loray, Alan Muniz

Publikováno v: Mathematische Zeitschrift
Mathematische Zeitschrift, inPress, ⟨10.1007/s00209-022-03041-4⟩

We describe moduli spaces of logarithmic rank $2$ connections on elliptic curves with $n \geq 1$ poles and generic residues. In particular, we generalize a previous work by the first and second named authors. Our main approach is to analyze the under

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13cb3e01edc270e610d6b401d642977c
http://arxiv.org/abs/2008.11767

Zobrazit plný text záznamu

Normal forms for rank two linear irregular differential equations and moduli spaces

Autor: Frank Loray, Karamoko Diarra

Publikováno v: Periodica Mathematica Hungarica
Periodica Mathematica Hungarica, 2022, 84, pp.303-320. ⟨10.1007/s10998-021-00408-8⟩
Periodica Mathematica Hungarica, Springer Verlag, In press, ⟨10.1007/s10998-021-00408-8⟩

International audience; We provide a unique normal form for rank two irregular connections on the Riemann sphere.In fact, we provide a birational model where we introduce apparent singular points and where the bundlehas a fixed Birkhoff-Grothendieck

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d86a929f61c970b6e1bad1390c908cd
https://hal.archives-ouvertes.fr/hal-02183978

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání