Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/255443
Share/Export:
logo share SHARE logo core CORE BASE
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE

Invite to open peer review
Title

Automorphism group of the moduli space of parabolic bundles over a curve

AuthorsAlfaya, David; Gómez de Quiroga, Tomás Luis
Issue Date2021
PublisherAcademic Press
CitationAdvances in Mathematics 393 (2021)
AbstractWe find the automorphism group of the moduli space of parabolic bundles on a smooth curve (with fixed determinant and system of weights). This group is generated by: automorphisms of the marked curve, tensoring with a line bundle, taking the dual, and Hecke transforms (using the filtrations given by the parabolic structure). A Torelli theorem for parabolic bundles with arbitrary rank and generic weights is also obtained. These results are extended to the classification of birational equivalences which are defined over ¿big¿ open subsets (3-birational maps, i.e. birational maps giving an isomorphism between open subsets with complement of codimension at least 3). Finally, an analysis of the stability chambers for the parabolic weights is performed in order to determine precisely when two moduli spaces of parabolic vector bundles with different parameters (curve, rank, determinant and weights) can be isomorphic.
Publisher version (URL)http://dx.doi.org/10.1016/j.aim.2021.108070
URIhttp://hdl.handle.net/10261/255443
DOI10.1016/j.aim.2021.108070
Identifiersdoi: 10.1016/j.aim.2021.108070
issn: 0001-8708
Appears in Collections:(ICMAT) Artículos

Files in This Item:
File Description SizeFormat
1-s2.0-S0001870821005090-main.pdf1,42 MBAdobe PDFThumbnail
View/Open
Show full item record

CORE Recommender

SCOPUSTM   
Citations

2
checked on Apr 20, 2024

WEB OF SCIENCETM
Citations

2
checked on Feb 28, 2024

Page view(s)

49
checked on Apr 20, 2024

Download(s)

81
checked on Apr 20, 2024

Google ScholarTM

Check

Altmetric

Altmetric


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.