Weak approximation for cubic hypersurfaces

Abstract

We prove weak approximation for smooth cubic hypersurfaces of dimension at least 2 defined over the function field of a complex curve.

31 pages, 5 figures. Comments are appreciated. v2: major revision in section 3, section 4 rewritten. To appear in Duke. Math. Journal. arXiv admin note: text overlap with arXiv:1003.3502

References in corpus (1)

• Weak approximation and rationally connected varieties over function fields of curves

Cited by in corpus (4)

• Hasse principle for three classes of varieties over global function fields
• Classifying sections of del Pezzo fibrations, II
• The tight approximation property
• Movable Bend and Break for sections of del Pezzo fibrations