CANONICAL SYMPLECTIC STRUCTURES AND DEFORMATIONS OF ALGEBRAIC SURFACES

DOI10.1142/S0219199709003478zbMath1183.14046arXivmath/0608110OpenAlexW2139329735MaRDI QIDQ5322288

Fabrizio Catanese

Publication date: 20 July 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608110

zbMATH Keywords

algebraic surfacessymplectic structuresMilnor fibres

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Moduli, classification: analytic theory; relations with modular forms (14J15)

Related Items (3)

Topological methods in moduli theory ⋮ Moduli spaces and braid monodromy types of bidouble covers of the quadric ⋮ The double point formula with isolated singularities and canonical embeddings

Cites Work

• Everywhere non reduced moduli spaces
• Threefolds and deformations of surface singularities
• An effective Matsusaka big theorem
• Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves
• Moduli spaces of surfaces and real structures
• On the moduli space of diffeomorphic algebraic surfaces
• Symplectic conifold transitions.
• Quadratic functions and smoothing surface singularities
• Fundamental groups of complements of plane curves and symplectic invariants
• Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
• Iterated double covers and connected components of moduli spaces
• Algebraic surfaces and 4-manifolds: Some conjectures and speculations
• The Seiberg-Witten equations and 4-manifold topology

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