On everywhere locally soluble varieties in families over toric bases

@misc{mitankin2026everywhere,
  title = {{On everywhere locally soluble varieties in families over toric bases}},
  author = {Vladi Mitankin and Leo Schäfer and Damaris Schindler and Florian Wilsch},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01825},
  eprint = {2609.01825},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01825},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - On everywhere locally soluble varieties in families over toric bases
AU  - Vladi Mitankin
AU  - Leo Schäfer
AU  - Damaris Schindler
AU  - Florian Wilsch
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01825
UR  - https://arxiv.org/abs/2609.01825
AB  - We determine the density of locally soluble fibres in certain families of varieties over a toric base. For this we develop a new form of the hyperbola method for toric bases which allows for counting functions with a growth behaviour of the form B^a(log B)^−Δ.
ER  -