Reparamétrisation universelle d'une famille de cycles : une nouvelle approche des relations d'équivalence méromorphe. (Universal reparametrization of a family of cycles: a new approach about meromorphic equivalence relations)

DOI10.5802/aif.1788zbMath0966.32003OpenAlexW2329796610MaRDI QIDQ1572647

David Mathieu

Publication date: 19 July 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_4_1155_0

zbMATH Keywords

geometric flatteninganalytic structure on a quotientmeromorphic and analytic equivalence relationsmeromorphic and analytic families of cycles

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Quotient spaces, decompositions in general topology (54B15) Analytic subsets and submanifolds (32C25) Meromorphic mappings in several complex variables (32H04) Complex spaces (32C15)

Related Items (2)

Quasi-proper meromorphic equivalence relations ⋮ Meromorphic quotients for some holomorphic G-actions

Cites Work

• Holomorphe und meromorphe Abbildungen komplexer Räume
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• Complex analytic geometry
• Fibre cycles of holomorphic maps. I: Local flattening
• Analytic and algebraic dependence of meromorphic functions
• Über holomorphe Abbildungen komplexer Räume
• Subanalytic Functions
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