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PreprintCC BY-NC-ND 4.0arXiv

On the non-existence of certain maximizing curves of degree 7

Abstract

In this paper we show there does not exist any arrangement of degree $7$ consisting of k≥ 1 conics and d≥ 1 lines admitting certain naturally chosen ADE-singularities.

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BibTeX
@misc{merta2026nonexistence,
  title = {{On the non-existence of certain maximizing curves of degree 7}},
  author = {Łukasz Merta and Marcin Zieliński},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.16658},
  eprint = {2610.16658},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.16658},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - On the non-existence of certain maximizing curves of degree 7
AU  - Łukasz Merta
AU  - Marcin Zieliński
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.16658
UR  - https://arxiv.org/abs/2610.16658
AB  - In this paper we show there does not exist any arrangement of degree $7$ consisting of k≥ 1 conics and d≥ 1 lines admitting certain naturally chosen ADE-singularities.
ER  -