Semi-integral points of bounded height on toric varieties
Abstract
We prove asymptotics for semi-integral points of bounded height on toric varieties. We verify the Manin-type conjecture of Pieropan, Smeets, Tanimoto and Várilly-Alvarado for smooth and certain singular toric orbifolds upon replacing the leading constant with the one predicted by Chow, Loughran, Takloo-Bighash and Tanimoto.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2024
- DOI:
- 10.48550/arXiv.2410.02039
- arXiv:
- arXiv:2410.02039
- Bibcode:
- 2024arXiv241002039S
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- 14G05 (Primary) 11D45;
- 14G10;
- 11D57 (Secondary)
- E-Print:
- 24 pages, comments welcome