On the equations of Halphen and \(\mathrm{SL}_{2}(\mathbb C)\)-actions

DOI10.1007/s10240-007-0008-6zbMath1141.32007OpenAlexW2062417564MaRDI QIDQ2465553

Adolfo Guillot

Publication date: 4 January 2008

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_2007__105__221_0

zbMATH Keywords

equivariant compactificationcomplex manifoldholomorphic action

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Geometric methods in ordinary differential equations (34A26) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

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Cites Work

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• Differential relations of theta functions
• On the algebraic non-integrability of the Halphen system
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• On the inverse of monoidal transformation
• Supplement to On the inverse of monoidal transformation
• Compactifications équivariantes par des courbes
• Relatively minimal quasihomogeneous projective 3-folds
• A global formulation of the Lie theory of transformation groups
• Realization of germs of holomorphic foliations by semi-complete fields in dimension 2
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