Homological sieve and Manin's conjecture
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.
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