Catanese: Algebraic Surfaces and Their Moduli Spaces: Real, Differentiable and Symplectic Structures

Catanese, Fabrizio:
Algebraic Surfaces and Their Moduli Spaces: Real, Differentiable and Symplectic Structures
Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.3, p. 537-558, (English)
pdf (230 Kb), djvu (237 Kb). | MR 2569289 | Zbl 1184.14061

Sunto

The theory of algebraic surfaces, according to Federigo Enriques, revealed `riposte armonie' (hidden harmonies) who the mathematicians to undertook their investigation. Purpose of this article is to show that this holds still nowadays; and point out, while reviewing recent progress and unexpected new results, the many faceted connections of the theory, among others, with algebra (Galois group of the rational numbers), with real geometry, and with differential and symplectic topology of 4 manifolds.

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