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PreprintarXiv licencearXiv

Pairs of quadrics in eleven variables over number fields

Abstract

A nested version of the δ-method is developed for number fields K/QQ and is used to establish an asymptotic formula for the number of K-rational points of bounded height on non-singular complete intersections of two quadrics in PPn−1K, when ngeqslant11.

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BibTeX
@misc{molla2026pairs,
  title = {{Pairs of quadrics in eleven variables over number fields}},
  author = {Esrafil Ali Molla},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03085},
  eprint = {2611.03085},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03085},
}
RIS
TY  - UNPB
TI  - Pairs of quadrics in eleven variables over number fields
AU  - Esrafil Ali Molla
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03085
UR  - https://arxiv.org/abs/2611.03085
AB  - A nested version of the δ-method is developed for number fields K/QQ and is used to establish an asymptotic formula for the number of K-rational points of bounded height on non-singular complete intersections of two quadrics in PP^n−1_K, when ngeqslant11.
ER  -