CORDIS Project
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This project focuses on a conjecture in arithmetic geometry related to counting rational points on specific geometric structures called Fano varieties. The aim is to explore and analyze this conjecture within a new class of geometric objects.
Abstract:
Manins conjecture is a famous conjecture in arithmetic geometry, predicting asymptotically the number of rational points of bounded height on Fano varieties.
In a breaking recent advance, the researcher and Yasuda have [Darda-Yasuda]extended it to stacks, which explains Malles conjecture on the number of Galois extensions with fixed Galois group of bounded discriminant.
The leading constant in the asymptotic formula, however, remains unknown. A reason for this is that we still have ver…
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