Minimal models of foliated algebraic surfaces

DOI10.24033/bsmf.2349zbMath0969.14009OpenAlexW2469054480MaRDI QIDQ4700602

Marco Brunella

Publication date: 4 November 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1999__127_2_289_0

zbMATH Keywords

algebraic surfacesminimal modelsbirational transformationsholomorphic foliationspolynomial diffeomorphisms

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Birational automorphisms, Cremona group and generalizations (14E07) Singularities of holomorphic vector fields and foliations (32S65) Minimal model program (Mori theory, extremal rays) (14E30) Differential topological aspects of diffeomorphisms (57R50) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (14)

Kodaira dimension of holomorphic singular foliations ⋮ Birational maps preserving the contact structure on \(\mathbb{P}^3_\mathbb{C}\) ⋮ Rational endomorphisms of codimension one holomorphic foliations ⋮ Positive rational nodal leaves in surfaces ⋮ The birational invariants of Lins Neto’s foliations ⋮ On the slope of non-algebraic holomorphic foliations ⋮ Birational Geometry of Foliations Associated to Simple Derivations ⋮ Dynamics of a family of polynomial automorphisms of \(\mathbb {C}^3\), a phase transition ⋮ Representations of quasi-projective groups, flat connections and transversely projective foliations ⋮ Rational Curves on Foliated Varieties ⋮ The Noether-Fano inequalities for codimension one singular holomorphic foliations ⋮ Higher-dimensional foliated Mori theory ⋮ Polynomial bounds for automorphisms groups of foliations ⋮ Codimension one regular foliations on rationally connected threefolds

Cites Work

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• On the neighborhood of a compact complex curve with topologically trivial normal bundle
• Invariant varieties through singularities of holomorphic vector fields
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
• Feuilletages holomorphes sur les surfaces complexes compactes

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