Points of bounded height on projective spaces over global function fields via geometry of numbers
Abstract
We give a new proof of a result of DiPippo and Wan for counting points of bounded height on projective spaces over global function fields. The new proof adapts the geometry of numbers arguments used by Schanuel in the number field case.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- 10.48550/arXiv.2206.07613
- arXiv:
- arXiv:2206.07613
- Bibcode:
- 2022arXiv220607613P
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- 11D45 (Primary) 11G50;
- 11G25;
- 11G45;
- 14G05 (Secondary)
- E-Print:
- 7 pages, comments welcome!