L. Meersseman - Kuranishi and Teichmüller ; L. Meersseman - Kuranishi and Teichmüller: Summer School 2019 - Foliations and algebraic geometry ; : École d’Été 2019 - Feuilletages et géométrie algébrique
In: https://hal.science/medihal-02274908 ; 2019, 2019
videoRecording
Zugriff:
Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes every small deformation of X. The Teichmüller space is a topological space formed by the classes of compact complex manifolds diffeomorphic to X up to biholomorphisms smoothly isotopic to the identity. F. Catanese asked when these two spaces are locally homeomorphic. Unfortunatly, this almost never occurs. I will reformulate this question replacing these two spaces with stacks. I will then show that, if X is Kähler, this new question has always a positive answer. Finally, I will discuss the non-Kähler case.
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L. Meersseman - Kuranishi and Teichmüller ; L. Meersseman - Kuranishi and Teichmüller: Summer School 2019 - Foliations and algebraic geometry ; : École d’Été 2019 - Feuilletages et géométrie algébrique
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Autor/in / Beteiligte Person: | Meersseman, Laurent ; Bastien, Fanny ; Humphries, Donovan ; Laboratoire Angevin de Recherche en Mathématiques (LAREMA) ; Université d'Angers (UA)-Centre National de la Recherche Scientifique (CNRS) ; Institut Fourier (IF ) ; Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) ; ANR-11-LABX-0020,LEBESGUE,Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation(2011) |
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Zeitschrift: | https://hal.science/medihal-02274908 ; 2019, 2019 |
Veröffentlichung: | HAL CCSD, 2019 |
Medientyp: | videoRecording |
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