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Weighted Seshadri constants and ellipsoid embeddings

  • Jonathan David Evans
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Abstract

We explore Seshadri constants associated to weighted blow-ups of complex projective varieties and demonstrate how to use this notion to construct symplectic embeddings of ellipsoids. We illustrate the utility of this point of view by providing constructions of full fillings of ℂℙ2 by ellipsoids corresponding to all of the exceptional (post-Fibonacci) steps of the McDuff--Schlenk staircase and some non-obvious embeddings of ellipsoids in ellipsoids.

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Cite

BibTeXRIS
BibTeX
@misc{evans2026weighted,
  title = {{Weighted Seshadri constants and ellipsoid embeddings}},
  author = {Jonathan David Evans},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.27574},
  eprint = {2605.27574},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.27574},
}
RIS
TY  - UNPB
TI  - Weighted Seshadri constants and ellipsoid embeddings
AU  - Jonathan David Evans
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2605.27574
UR  - https://arxiv.org/abs/2605.27574
AB  - We explore Seshadri constants associated to weighted blow-ups of complex projective varieties and demonstrate how to use this notion to construct symplectic embeddings of ellipsoids. We illustrate the utility of this point of view by providing constructions of full fillings of ℂℙ^2 by ellipsoids corresponding to all of the exceptional (post-Fibonacci) steps of the McDuff--Schlenk staircase and some non-obvious embeddings of ellipsoids in ellipsoids.
ER  -