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2005 Geography of symplectic 4–manifolds with Kodaira dimension one
Scott Baldridge, Tian-Jun Li
Algebr. Geom. Topol. 5(1): 355-368 (2005). DOI: 10.2140/agt.2005.5.355

Abstract

The geography problem is usually stated for simply connected symplectic 4–manifolds. When the first cohomology is nontrivial, however, one can restate the problem taking into account how close the symplectic manifold is to satisfying the conclusion of the Hard Lefschetz Theorem, which is measured by a nonnegative integer called the degeneracy. In this paper we include the degeneracy as an extra parameter in the geography problem and show how to fill out the geography of symplectic 4–manifolds with Kodaira dimension 1 for all admissible triples.

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Scott Baldridge. Tian-Jun Li. "Geography of symplectic 4–manifolds with Kodaira dimension one." Algebr. Geom. Topol. 5 (1) 355 - 368, 2005. https://doi.org/10.2140/agt.2005.5.355

Information

Received: 22 January 2005; Revised: 30 March 2005; Accepted: 12 April 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1083.57033
MathSciNet: MR2135557
Digital Object Identifier: 10.2140/agt.2005.5.355

Subjects:
Primary: 57R17
Secondary: 53D05, 57M60, 57R57

Rights: Copyright © 2005 Mathematical Sciences Publishers

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