Work

Homological stability and weak approximation

Year: 2025

Type: preprint

Abstract: We investigate homological stability for the space of sections of Fano fibrations over curves in the context of weak approximation, and establish it for projective bundles, as well as for conic and quadric surface bundles over curves.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2509.11021

Authors: Tanimoto, Sho, Tschinkel, Yuri

Institutions: Nagoya University, Courant Institute of Mathematical Sciences, Simons Foundation

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415087649

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