Variation of complex structures and variation of Lie algebras

DOI10.1007/BF01234430zbMath0666.14002MaRDI QIDQ1116993

Craig Seeley, Stephen Shing-Toung Yau

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143769

zbMATH Keywords

1-parameter familiessimple-elliptic singularitiesvariation of complex structuresvariation of Lie algebras

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Simple, semisimple, reductive (super)algebras (17B20) Deformations of complex singularities; vanishing cycles (32S30) Deformations of singularities (14B07)

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Cites Work

• Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities
• Classification of isolated hypersurface singularities by their moduli algebras
• Einfach-elliptische Singularitäten
• Isolated singularities defined by weighted homogeneous polynomials
• Quasihomogeneous isolated singularities of hyperplanes.
• Singularities Defined by sℓ(2, C) Invariant Polynomials and Solvability of Lie Algebras Arising From Isolated Singularities
• Classification of Jacobian ideals invariant by 𝑠𝑙(2,𝐶) actions
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type