Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces

Let [Formula: see text] be an elliptically fibered K3 surface, admitting a sequence [Formula: see text] of Ricci-flat metrics collapsing the fibers. Let V be a holomorphic SU(n) bundle over X, stable with respect to [Formula: see text] . Given the corresponding sequence [Formula: see text] of Hermit...

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Detalles Bibliográficos
Autores principales: Datar, Ved, Jacob, Adam
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8741718/
https://www.ncbi.nlm.nih.gov/pubmed/35110958
http://dx.doi.org/10.1007/s12220-021-00808-9
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author Datar, Ved
Jacob, Adam
author_facet Datar, Ved
Jacob, Adam
author_sort Datar, Ved
collection PubMed
description Let [Formula: see text] be an elliptically fibered K3 surface, admitting a sequence [Formula: see text] of Ricci-flat metrics collapsing the fibers. Let V be a holomorphic SU(n) bundle over X, stable with respect to [Formula: see text] . Given the corresponding sequence [Formula: see text] of Hermitian–Yang–Mills connections on V, we prove that, if E is a generic fiber, the restricted sequence [Formula: see text] converges to a flat connection [Formula: see text] . Furthermore, if the restriction [Formula: see text] is of the form [Formula: see text] for n distinct points [Formula: see text] , then these points uniquely determine [Formula: see text] .
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spelling pubmed-87417182022-01-31 Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces Datar, Ved Jacob, Adam J Geom Anal Article Let [Formula: see text] be an elliptically fibered K3 surface, admitting a sequence [Formula: see text] of Ricci-flat metrics collapsing the fibers. Let V be a holomorphic SU(n) bundle over X, stable with respect to [Formula: see text] . Given the corresponding sequence [Formula: see text] of Hermitian–Yang–Mills connections on V, we prove that, if E is a generic fiber, the restricted sequence [Formula: see text] converges to a flat connection [Formula: see text] . Furthermore, if the restriction [Formula: see text] is of the form [Formula: see text] for n distinct points [Formula: see text] , then these points uniquely determine [Formula: see text] . Springer US 2022-01-07 2022 /pmc/articles/PMC8741718/ /pubmed/35110958 http://dx.doi.org/10.1007/s12220-021-00808-9 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Datar, Ved
Jacob, Adam
Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces
title Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces
title_full Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces
title_fullStr Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces
title_full_unstemmed Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces
title_short Hermitian–Yang–Mills Connections on Collapsing Elliptically Fibered K3 Surfaces
title_sort hermitian–yang–mills connections on collapsing elliptically fibered k3 surfaces
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8741718/
https://www.ncbi.nlm.nih.gov/pubmed/35110958
http://dx.doi.org/10.1007/s12220-021-00808-9
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AT jacobadam hermitianyangmillsconnectionsoncollapsingellipticallyfiberedk3surfaces

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