Recent progress in the geometry of Q-acyclic surfaces

Abstract

We give a survey of results on the geometry of complex algebraic Q-acyclic surfaces, so-called 'Q-homology planes', including some recent results.

19 pages, 3 figures

References in corpus (5)

• On a class of rational cuspidal plane curves
• Abstract configurations in algebraic geometry
• Exceptional singular Q-homology planes
• On rational cuspidal curves, open surfaces and local singularities
• Singular Q-homology planes of negative Kodaira dimension have smooth locus of non-general type

Cited by in corpus (6)

• Counterexamples to the $I^{(3)}\subset I^2$ containment
• Exceptional singular Q-homology planes
• Classification of singular Q-homology planes. II. C^1- and C*-rulings
• The Jacobian Conjecture fails for pseudo-planes
• Singular Q-homology planes of negative Kodaira dimension have smooth locus of non-general type
• Smooth $\mathbb{Q}$-homology planes satisfying the Negativity Conjecture