<div class="csl-bib-body">
<div class="csl-entry">Gallego, E., Gómez-Ramírez, D. A. de J., & Vélez, J. D. (2017). On Positive-Characteristic Semi-parametric Local Uniform Reductions of Varieties over Finitely Generated Q-Algebras. <i>Results in Mathematics</i>. https://doi.org/10.1007/s00025-017-0691-7</div>
</div>
We present a non-standard proof of the fact that the existence of a local (i.e. restricted to a point) characteristic-zero, semi-parametric lifting for a variety defined by the zero locus of polynomial equations over the integers is equivalent to the existence of a collection of local semi-parametric (positive-characteristic) reductions of such variety for almost all primes (i.e. outside a finite set), and such that there exists a global complexity bounding all the corresponding structures involved. Results of this kind are a fundamental tool for transferring theorems in commutative algebra from a characteristic-zero setting to a positive-characteristic one.
en
dc.description.sponsorship
Vienna Science and Technology Fund (WWTF)
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dc.language
English
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dc.language.iso
en
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dc.publisher
Birkhäuser
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dc.relation.ispartof
Results in Mathematics
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Lefschetz’s Principle
en
dc.subject
height
en
dc.subject
Radical ideal
en
dc.subject
prime characteristic
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dc.subject
complexity
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dc.title
On Positive-Characteristic Semi-parametric Local Uniform Reductions of Varieties over Finitely Generated Q-Algebras
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.contributor.affiliation
University of Antioquia, Medellín, Colombia
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dc.contributor.affiliation
National University of Colombia, Medellín, Colombia
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dc.relation.grantno
12-004
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dc.rights.holder
2017 The Author(s)
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dc.type.category
Original Research Article
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.version
vor
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wb.publication.intCoWork
International Co-publication
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dcterms.isPartOf.title
Results in Mathematics
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.1007/s00025-017-0691-7
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dc.date.onlinefirst
2017-05-18
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dc.identifier.eissn
1420-9012
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dc.identifier.libraryid
AC15188643
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-4258
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dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
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Open Access
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open
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Publications
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http://purl.org/coar/resource_type/c_2df8fbb1
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item.languageiso639-1
en
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research article
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with Fulltext
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E104 - Institut für Diskrete Mathematik und Geometrie