\mathbbA¹-curves on affine complete intersections

2016/10/12 by Xi Chen, Yi Zhu, Chen, Xi +1
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1610.03791

openalex publication_date 2016/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize the results of Clemens, Ein, and Voisin regarding rational curves and zero cycles on generic projective complete intersections to the logarithmic setup.

Related

• Affine curves in characteristic zero are not always set theoretic complete intersections
• \mathbbA¹-curves on log smooth varieties
• Curves on complete intersections and measures of irrationality
• Rational curves on complete intersections in positive characteristic
• The gonality of complete intersection curves