dc.contributor.author
Barthel, T.
dc.contributor.author
Castellana, N.
dc.contributor.author
Heard, D.
dc.contributor.author
Sanders, B.
dc.date.accessioned
2025-01-23T13:48:03Z
dc.date.available
2025-01-23T13:48:03Z
dc.date.issued
2024-10-26
dc.identifier.uri
http://hdl.handle.net/2072/480075
dc.description.abstract
We prove that a jointly conservative family of geometric functors between rigidly-compactly generated tensor triangulated categories induces a surjective map on Balmer spectra. From this we deduce a fiberwise criterion for Balmer's comparison map to be a continuous bijection. This gives short alternative proofs of the Hopkins-Neeman theorem and its generalization, due to Lau, to the case of a finite group acting trivially on an affine scheme.
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dc.description.sponsorship
TB is supported by the European Research Council (ERC) under Horizon Europe (grant No. 101042990). NC is partially supported by Spanish State Research Agency project PID2020-116481GB-I00, the SeveroOchoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M),and the CERCA Programme/Generalitat de Catalunya. DH is supported by grant number TMS2020TMT02 from the Trond Mohn Foundation. BS is supported by NSF grant DMS-1903429.
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dc.relation.ispartof
Mathematische Zeitschrift
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
tt-geometry
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dc.subject.other
Homological spectrum
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dc.subject.other
Comparison maps
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dc.subject.other
Conservativity
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dc.title
On surjectivity in tensor triangular geometry
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1007/s00209-024-03618-1
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
