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

Autor:	Chaidez, Julian, Wormleighton, Ben
Rok vydání:	2022
Předmět:	Mathematics - Symplectic Geometry Mathematics - Algebraic Geometry 53D35 14M25 (Primary) 53D20 14C20 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.1112/jlms.12831
Popis:	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. Comment: 33 pages, 6 figures. Minor edits to v1. To appear in Journal of the London Mathematical Society
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.09225 Zobrazit plný text záznamu View this record from Arxiv