Homological sieve and Manin's conjecture
Algebraic Geometry
2026-05-13 v1 Number Theory
Abstract
This is a report of the author's talk at RIMS workshop Algebraic Number Theory and Related Topics 2025 which was held at RIMS Kyoto University during December 15th-19th 2025. In this survey paper, we explain the homological sieve method, which is proposed by Das, Lehmann, Tosteson, and the author, and its applications to Manin's conjecture.
Cite
@article{arxiv.2605.09896,
title = {Homological sieve and Manin's conjecture},
author = {Sho Tanimoto},
journal= {arXiv preprint arXiv:2605.09896},
year = {2026}
}
Comments
12 pages, to appear in the proceedings volume of Algebraic Number Theory and Related Topics 2025