The unique tangent cone property for weakly holomorphic maps into projective algebraic varieties
dc.contributor.author
Caniato, Riccardo
dc.contributor.author
Rivière, Tristan
dc.date.accessioned
2023-11-27T09:18:07Z
dc.date.available
2023-11-26T06:55:36Z
dc.date.available
2023-11-27T09:18:07Z
dc.date.issued
2023-09-15
dc.identifier.issn
0012-7094
dc.identifier.issn
1547-7398
dc.identifier.other
10.1215/00127094-2022-0087
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/643698
dc.description.abstract
We establish the uniqueness of tangent maps for general weakly holomorphic and locally approximable maps from an arbitrary almost complex manifold into projective algebraic varieties. As a by-product of the approach and the techniques developed, we also obtain the unique tangent cone property for a special class of nonrectifiable positive pseudoholomorphic cycles. This approach also gives a new proof of the main result by Bellettini on the uniqueness of tangent cones for positive integral (p, p)-cycles in arbitrary almost complex manifolds.
en_US
dc.language.iso
en
en_US
dc.publisher
Duke University Press
en_US
dc.title
The unique tangent cone property for weakly holomorphic maps into projective algebraic varieties
en_US
dc.type
Journal Article
dc.date.published
2023-10-23
ethz.journal.title
Duke Mathematical Journal
ethz.journal.volume
172
en_US
ethz.journal.issue
13
en_US
ethz.journal.abbreviated
Duke Math. J.
ethz.pages.start
2471
en_US
ethz.pages.end
2536
en_US
ethz.grant
Variational Analysis in Geometry
en_US
ethz.identifier.wos
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03600 - Rivière, Tristan / Rivière, Tristan
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03600 - Rivière, Tristan / Rivière, Tristan
ethz.grant.agreementno
192062
ethz.grant.fundername
SNF
ethz.grant.funderDoi
10.13039/501100001711
ethz.grant.program
Projekte MINT
ethz.date.deposited
2023-11-26T06:55:43Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2023-11-27T09:18:08Z
ethz.rosetta.lastUpdated
2024-02-03T06:55:02Z
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true
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Journal Article [133638]