English

Torsion order and irrationality of complete intersections

Algebraic Geometry 2025-10-29 v1

Abstract

We provide new logarithmic lower bounds for the torsion order of a very general complete intersection in projective space as well as a very general hypersurface in products of projective spaces and Grassmannians, in particular we prove their retract irrationality.

Keywords

Cite

@article{arxiv.2510.24258,
  title  = {Torsion order and irrationality of complete intersections},
  author = {Jan Lange and Guoyun Zhang},
  journal= {arXiv preprint arXiv:2510.24258},
  year   = {2025}
}

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36 pages