Torsion order and irrationality of complete intersections

Fuente: arXiv
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Main Authors: Lange, Jan, Zhang, Guoyun
Format: Preprint
Published: 2025
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author Lange, Jan
Zhang, Guoyun
author_facet Lange, Jan
Zhang, Guoyun
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_24258
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Torsion order and irrationality of complete intersections
Lange, Jan
Zhang, Guoyun
Algebraic Geometry
14M10, 14C25, 14E08, 13C40
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.
title Torsion order and irrationality of complete intersections
topic Algebraic Geometry
14M10, 14C25, 14E08, 13C40
url https://arxiv.org/abs/2510.24258