Cylinders in del Pezzo surfaces

Abstract

On del Pezzo surfaces, we study effective ample $\mathbb{R}$-divisors such that the complements of their supports are isomorphic to ${\mathbb{A}}^1$-bundles over smooth affine curves.

33 pages. Gaps in the proofs of Theorems 4.1.1 and 4.1.3 in the previous version have been filled up

References in corpus (2)

• A simply connected surface of general type with p_g=0 and K^2=2
• Balanced line bundles on Fano varieties

Cited by in corpus (6)

• Geometric Manin's Conjecture and rational curves
• Affine cones over cubic surfaces are flexible in codimension one
• Unstable polarized del Pezzo surfaces
• Deformations of ${\mathbb{A}}^1$-cylindrical varieties
• Rational curves on prime Fano threefolds of index 1
• The Rigid Pham-Brieskorn Threefolds