Show simple item record

dc.contributor.author
Binyamini, Gal
dc.contributor.author
Kowalski, Emmanuel
dc.date.accessioned
2021-10-15T09:17:53Z
dc.date.available
2020-11-05T20:03:16Z
dc.date.available
2020-11-10T11:26:27Z
dc.date.available
2020-12-11T11:07:14Z
dc.date.available
2021-10-15T09:17:53Z
dc.date.issued
2020-10
dc.identifier.issn
0075-4102
dc.identifier.issn
1435-5345
dc.identifier.other
10.1515/crelle-2019-0028
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/449942
dc.identifier.doi
10.3929/ethz-b-000449942
dc.description.abstract
Let X subset of Y(1)(n) be a subvariety defined over a number field F and let (P-1,...P-n) is an element of X be a special point not contained in a positive-dimensional special subvariety of X. We show that if a coordinate Pi corresponds to an order not contained in a single exceptional Siegel-Tatuzawa imaginary quadratic field K-*, then the associated discriminant [Delta(P-i)vertical bar is bounded by an effective constant depending only on degX and [F : Q]. We derive analogous effective results for the positive-dimensional maximal special subvarieties. From the main theorem we deduce various effective results of Andre-Oort type. In particular, we define a genericity condition on the leading homogeneous part of a polynomial, and give a fully effective Andre-Oort statement for hypersurfaces defined by polynomials satisfying this condition.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
De Gruyter
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.title
Some effective estimates for Andre-Oort in Y(1)n
en_US
dc.type
Journal Article
dc.rights.license
In Copyright - Non-Commercial Use Permitted
dc.date.published
2019-09-11
ethz.journal.title
Journal für die reine und angewandte Mathematik
ethz.journal.volume
767
en_US
ethz.journal.abbreviated
J. reine angew. Math.
ethz.pages.start
17
en_US
ethz.pages.end
35
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.identifier.nebis
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2020-11-05T20:03:21Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2020-11-10T11:26:38Z
ethz.rosetta.lastUpdated
2024-02-02T15:07:49Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=Some%20effective%20estimates%20for%20Andre-Oort%20in%20Y(1)n&rft.jtitle=Journal%20f%C3%BCr%20die%20reine%20und%20angewandte%20Mathematik&rft.date=2020-10&rft.volume=767&rft.spage=17&rft.epage=35&rft.issn=0075-4102&1435-5345&rft.au=Binyamini,%20Gal&Kowalski,%20Emmanuel&rft.genre=article&rft_id=info:doi/10.1515/crelle-2019-0028&
 Search print copy at ETH Library

Files in this item

Thumbnail

Publication type

Show simple item record