ANTIFLIPS, MUTATIONS, AND UNBOUNDED SYMPLECTIC EMBEDDINGS OF RATIONAL HOMOLOGY BALLS

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dc.contributor.authorEvans, Jonathan D.
dc.contributor.authorUrzua, Giancarlo
dc.date.accessioned2025-01-20T22:02:25Z
dc.date.available2025-01-20T22:02:25Z
dc.date.issued2021
dc.description.abstractThe Milnor fibre of a Q-Gorenstein smoothing of a Wahl singularity is a rational homology ball B-p,B-q. For a canonically polarised surface of general type X, it is known that there are bounds on the number p for which B-p,B-q admits a symplectic embedding into X. In this paper, we give a recipe to construct unbounded sequences of symplectically embedded B-p,B-q into surfaces of general type equipped with non-canonical symplectic forms. Ultimately, these symplectic embeddings come from Mori's theory of flips, but we give an interpretation in terms of almost tonic structures and mutations of polygons. The key point is that a flip of surfacns, as studied by Hacking, Tevelev and Urmia, can be formulated as a combination of mutations of an almost toric structure and deformation of the symplectic form.
dc.fuente.origenWOS
dc.identifier.eissn1777-5310
dc.identifier.issn0373-0956
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93980
dc.identifier.wosidWOS:000772480200023
dc.issue.numero3
dc.language.isoen
dc.pagina.final1843
dc.pagina.inicio1807
dc.revistaAnnales de l institut fourier
dc.rightsacceso restringido
dc.subjectSingularities
dc.subjectMMP
dc.subjectsymplectic geometry
dc.subjectalmost toric manifolds
dc.titleANTIFLIPS, MUTATIONS, AND UNBOUNDED SYMPLECTIC EMBEDDINGS OF RATIONAL HOMOLOGY BALLS
dc.typeartículo
dc.volumen71
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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