Special cubic zeros and the dual variety
Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 110(3), e12975.
Download
Journal Article
| Published
| English
Scopus indexed
Author
Department
Abstract
Let F be a diagonal cubic form over Z in six variables. From the dual variety in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally extract a weighted count of certain special integral zeros of F in regions of diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis differs and captures some novel features. We also put forth an axiomatic framework for more general F.
Publishing Year
Date Published
2024-08-14
Journal Title
Journal of the London Mathematical Society
Acknowledgement
This paper is an important component of the thesis work described in [25]; many of my acknowledgements there apply here as well. I also thank my advisor, Peter Sarnak, for many helpful suggestions and questions on the exposition, references, assumptions, and scope of (various drafts of) the present work. I am also grateful to Trevor Wooley for providing some helpful general comments on special subvarieties and the reference [24]. I thank Tim Browning for inspiring part of the current title of the paper. Finally, thanks are due to the referee for providing many helpful suggestions. This work was partially supported by NSF grant DMS-1802211, and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant AgreementNo. 101034413.
Volume
110
Issue
3
Article Number
e12975
ISSN
eISSN
IST-REx-ID
Cite this
Wang V. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 2024;110(3). doi:10.1112/jlms.12975
Wang, V. (2024). Special cubic zeros and the dual variety. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12975
Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/jlms.12975.
V. Wang, “Special cubic zeros and the dual variety,” Journal of the London Mathematical Society, vol. 110, no. 3. Wiley, 2024.
Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 110(3), e12975.
Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society, vol. 110, no. 3, e12975, Wiley, 2024, doi:10.1112/jlms.12975.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
Main File(s)
File Name
2024_JourLondonMathSoc_Wang.pdf
438.75 KB
Access Level
Open Access
Date Uploaded
2024-08-21
MD5 Checksum
90437e19f57520b4d66ca62408f6c81e
Export
Marked PublicationsOpen Data ISTA Research Explorer
Sources
arXiv 2108.03396
Google Scholar