Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces

Fuente: arXiv
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Autori principali: Chaidez, Julian, Wormleighton, Ben
Natura: Preprint
Pubblicazione: 2022
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author Chaidez, Julian
Wormleighton, Ben
author_facet Chaidez, Julian
Wormleighton, Ben
contents We develop new methods of both constructing and obstructing symplectic embeddings into non-toric rational surfaces using the theory of Newton-Okoukov bodies. Applications include sharp embedding results for concave toric domains into non-toric rational surfaces, and new cases of non-existence for infinite staircases in the non-toric setting.
format Preprint
id arxiv_https___arxiv_org_abs_2211_09225
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces
Chaidez, Julian
Wormleighton, Ben
Symplectic Geometry
Algebraic Geometry
53D35, 14M25 (Primary), 53D20, 14C20 (Secondary)
We develop new methods of both constructing and obstructing symplectic embeddings into non-toric rational surfaces using the theory of Newton-Okoukov bodies. Applications include sharp embedding results for concave toric domains into non-toric rational surfaces, and new cases of non-existence for infinite staircases in the non-toric setting.
title Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces
topic Symplectic Geometry
Algebraic Geometry
53D35, 14M25 (Primary), 53D20, 14C20 (Secondary)
url https://arxiv.org/abs/2211.09225