English

Slicing Correspondences with High Degree Hypersurfaces

Algebraic Geometry 2025-06-04 v1

Abstract

We approximately compute the correspondence degree (as defined by Lazarsfeld and Martin) between two unbalanced complete intersections. This is accomplished by showing that the procedure of taking a subvariety of a product Y×YY \times Y' and intersecting it with X×YX \times Y' (for XX a sufficiently ample smooth divisor in YY) induces a bijection between two sets of varieties. This may be of independent interest.

Keywords

Cite

@article{arxiv.2506.02977,
  title  = {Slicing Correspondences with High Degree Hypersurfaces},
  author = {Ishan Banerjee},
  journal= {arXiv preprint arXiv:2506.02977},
  year   = {2025}
}
R2 v1 2026-07-01T02:57:10.532Z