Strong approximation over function fields

Abstract

By studying ${\mathbb{A}}^1$-curves on varieties, we propose a geometric approach to strong approximation problem over function fields of complex curves. We prove that strong approximation holds for smooth, low degree affine complete intersections with the boundary smooth at infinity.

20 pages. Comments are welcome

References in corpus (2)

• Logarithmic Stable Maps
• ${\mathbb{A}}^1$-curves on log smooth varieties

Cited by in corpus (2)

• Log rationally connected surfaces
• ${\mathbb{A}}^1$-curves on log smooth varieties