PreprintCC BY 4.0arXiv
Improved bounds in Birch's theorem for forms in many variables
Abstract
We improve the best known result on the number of variables needed for the smooth Hasse principle for homogeneous forms of degree d≥5.
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BibTeX
@misc{diao2026improved,
title = {{Improved bounds in Birch's theorem for forms in many variables}},
author = {Yijie Diao and Lena Wurzinger},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00757},
eprint = {2609.00757},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00757},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Improved bounds in Birch's theorem for forms in many variables
AU - Yijie Diao
AU - Lena Wurzinger
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.00757
UR - https://arxiv.org/abs/2609.00757
AB - We improve the best known result on the number of variables needed for the smooth Hasse principle for homogeneous forms of degree d≥5.
ER -