@book{Nagata1965,
  author = {Nagata, Masayoshi},
  title = {Lectures on the Fourteenth Problem of {Hilbert}},
  series = {Tata Institute of Fundamental Research Lectures on Mathematics},
  volume = {31},
  publisher = {Tata Institute of Fundamental Research},
  address = {Bombay},
  year = {1965},
  note = {Notes by M. Pavaman Murthy},
  url = {https://mathweb.tifr.res.in/Documents/Publications/Lectures/tifr31.pdf}
}

@article{Nagata1959,
  author = {Nagata, Masayoshi},
  title = {On the 14-th problem of {Hilbert}},
  journal = {American Journal of Mathematics},
  volume = {81},
  number = {3},
  year = {1959},
  pages = {766--772},
  doi = {10.2307/2372927}
}

@incollection{Biran2001,
  author = {Biran, Paul},
  title = {From symplectic packing to algebraic geometry and back},
  booktitle = {European Congress of Mathematics, Vol. {II} (Barcelona, 2000)},
  series = {Progress in Mathematics},
  volume = {202},
  publisher = {Birkh{\"a}user},
  address = {Basel},
  year = {2001},
  pages = {507--524},
  url = {https://www.math.uni-bielefeld.de/~rehmann/ECM/cdrom/3ecm/pdfs/pant3/biran.pdf}
}

@article{StrycharzSzemberg2004,
  author = {Strycharz-Szemberg, Beata and Szemberg, Tomasz},
  title = {Remarks on the {Nagata} conjecture},
  journal = {Serdica Mathematical Journal},
  volume = {30},
  year = {2004},
  pages = {405--430},
  url = {https://www.math.bas.bg/serdica/2004/2004-405-430.pdf}
}

@article{SyzdekSzemberg2010,
  author = {Syzdek, Wioletta and Szemberg, Tomasz},
  title = {Seshadri fibrations of algebraic surfaces},
  journal = {Mathematische Nachrichten},
  volume = {283},
  number = {6},
  year = {2010},
  pages = {902--908},
  eprint = {0709.2592},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0709.2592v1}
}

@article{Harbourne2003,
  author = {Harbourne, Brian},
  title = {Seshadri constants and very ample divisors on algebraic surfaces},
  journal = {Journal f{\"u}r die reine und angewandte Mathematik},
  volume = {559},
  year = {2003},
  pages = {115--122},
  doi = {10.1515/crll.2003.044},
  eprint = {math/0103029},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0103029v2}
}

@article{Roe2004,
  author = {Ro{\'e}, Joaquim},
  title = {A relation between one-point and multi-point {Seshadri} constants},
  journal = {Journal of Algebra},
  volume = {274},
  number = {2},
  year = {2004},
  pages = {643--651},
  doi = {10.1016/j.jalgebra.2003.10.009},
  eprint = {math/0304124},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0304124v1},
  note = {Author version entitled ``On the Nagata conjecture''}
}

@article{RoeRoss2009,
  author = {Ro{\'e}, Joaquim and Ross, Julius},
  title = {An inequality between multipoint {Seshadri} constants},
  journal = {Geometriae Dedicata},
  volume = {140},
  year = {2009},
  pages = {175--181},
  doi = {10.1007/s10711-008-9315-4},
  eprint = {0804.1662},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0804.1662v1}
}

@article{Dumnicki2007,
  author = {Dumnicki, Marcin},
  title = {Cutting diagram method for systems of plane curves with base points},
  journal = {Annales Polonici Mathematici},
  volume = {90},
  number = {2},
  year = {2007},
  pages = {131--143},
  doi = {10.4064/ap90-2-3},
  url = {https://www.impan.pl/shop/en/publication/transaction/download/product/84958}
}

@article{Biran1999,
  author = {Biran, Paul},
  title = {A stability property of symplectic packing},
  journal = {Inventiones Mathematicae},
  volume = {136},
  year = {1999},
  pages = {123--155},
  doi = {10.1007/s002220050306}
}

@article{AlexanderHirschowitz2000,
  author = {Alexander, James and Hirschowitz, Andr{\'e}},
  title = {An asymptotic vanishing theorem for generic unions of multiple points},
  journal = {Inventiones Mathematicae},
  volume = {140},
  number = {2},
  year = {2000},
  pages = {303--325},
  eprint = {alg-geom/9703037},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/alg-geom/9703037v3}
}

@article{BuseHindOpshtein2016,
  author = {Buse, Olguta and Hind, Richard and Opshtein, Emmanuel},
  title = {Packing stability for symplectic 4-manifolds},
  journal = {Transactions of the American Mathematical Society},
  volume = {368},
  number = {11},
  year = {2016},
  pages = {8209--8222},
  doi = {10.1090/tran/6802},
  eprint = {1404.4183},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1404.4183}
}

@article{Eckl2017,
  author = {Eckl, Thomas},
  title = {K{\"a}hler packings and {Seshadri} constants on projective complex surfaces},
  journal = {Differential Geometry and its Applications},
  volume = {52},
  year = {2017},
  pages = {51--63},
  doi = {10.1016/j.difgeo.2017.03.007},
  eprint = {1409.3664},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1409.3664}
}

@article{DionneRoth2025,
  author = {Dionne, Chris and Roth, Mike},
  title = {{Seshadri} constants on {$\mathbb{P}^1\times\mathbb{P}^1$} and applications to the symplectic packing problem},
  journal = {Forum of Mathematics, Sigma},
  volume = {13},
  year = {2025},
  pages = {e191},
  doi = {10.1017/fms.2025.10137},
  eprint = {2406.11656},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2406.11656}
}

@misc{LafaceUgaglia2026,
  author = {Laface, Antonio and Ugaglia, Luca},
  title = {Irrational {Seshadri} constants from dihedral orbits},
  year = {2026},
  eprint = {2609.26521},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26521v1},
  note = {Preprint, version 1, September 22, 2026}
}

@misc{Stacks,
  author = {{The Stacks Project Authors}},
  title = {The {Stacks Project}},
  year = {2026},
  url = {https://stacks.math.columbia.edu},
  note = {Tags 01OF, 01ZM, 02KH, 0AGP, 0D3C, 0FD6, 0G4F, 0638, 0G3P, 02UO, and 0FVV}
}

@misc{OpenAINagata2026,
  author = {{OpenAI}},
  title = {{Nagata's conjecture for plane curves}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Nagatas-Conjecture-for-Plane-Curves-September-23-2026/main.pdf}{OAI:Nagatas-Conjecture-for-Plane-Curves-September-23-2026}},
  year = {2026}
}

@misc{CFKLRS2016,
  author = {Ciliberto, Ciro and Farnik, Michal and K{\"u}ronya, Alex and Lozovanu, Victor and Ro{\'e}, Joaquim and Shramov, Constantin},
  title = {{Newton--Okounkov} bodies sprouting on the valuative tree},
  year = {2016},
  eprint = {1602.02074v1},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1602.02074v1},
  note = {\href{https://arxiv.org/abs/1602.02074v1}{arXiv:1602.02074v1}}
}

@misc{Gundlach2021,
  author = {Gundlach, Fabian},
  title = {Polynomials vanishing at lattice points in a convex set},
  year = {2021},
  eprint = {2107.05353v1},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2107.05353v1},
  note = {\href{https://arxiv.org/abs/2107.05353v1}{arXiv:2107.05353v1}}
}