DC Field | Value | Language |
---|---|---|
dc.contributor.author | Antei, Marco | ko |
dc.contributor.author | Mehta, Vikram B. | ko |
dc.date.accessioned | 2013-03-13T01:56:17Z | - |
dc.date.available | 2013-03-13T01:56:17Z | - |
dc.date.created | 2012-08-14 | - |
dc.date.created | 2012-08-14 | - |
dc.date.issued | 2012-06 | - |
dc.identifier.citation | BULLETIN DES SCIENCES MATHEMATIQUES, v.136, no.4, pp.423 - 431 | - |
dc.identifier.issn | 0007-4497 | - |
dc.identifier.uri | http://hdl.handle.net/10203/104175 | - |
dc.description.abstract | Let k be an algebraically closed field of characteristic p > 0, W the ring of Witt vectors over k and R the integral closure of W in the algebraic closure (K) over bar of K := Frac(W); let moreover X be a smooth, connected and projective scheme over W and H a relatively very ample line bundle over X. We prove that when dim(X/W) >= 2 there exists an integer d(0), depending only on X, such that for any d >= do, any Y is an element of |H-circle times d| connected and smooth over W and any y is an element of Y(W) the natural R-morphism of fundamental group schemes pi(1)(Y-R. y(R)) -> pi(1)(X-R, y(R)) is faithfully flat, X-R. Y-R. y(R) being respectively the pull back of X. Y. y over Spec(R). If moreover dim(X/W) >= 3 then there exists an integer d(1), depending only on X. such that for any d >= d(1), any Y is an element of |H-circle times d| connected and smooth over W and any section y is an element of Y(W) the morphism pi(1)(Y-R. y(R)) -> pi(1)(X-R. y(R)) is an isomorphism. (C) 2011 Elsevier Masson SAS. All rights reserved. | - |
dc.language | English | - |
dc.publisher | GAUTHIER-VILLARS/EDITIONS ELSEVIER | - |
dc.subject | FUNDAMENTAL GROUP-SCHEME | - |
dc.title | On the Grothendieck-Lefschetz theorem for a family of varieties | - |
dc.type | Article | - |
dc.identifier.wosid | 000305302400005 | - |
dc.identifier.scopusid | 2-s2.0-84861347689 | - |
dc.type.rims | ART | - |
dc.citation.volume | 136 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 423 | - |
dc.citation.endingpage | 431 | - |
dc.citation.publicationname | BULLETIN DES SCIENCES MATHEMATIQUES | - |
dc.identifier.doi | 10.1016/j.bulsci.2011.12.005 | - |
dc.contributor.nonIdAuthor | Mehta, Vikram B. | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Fundamental group scheme | - |
dc.subject.keywordAuthor | Essentially finite vector bundles | - |
dc.subject.keywordAuthor | Grothendieck-Lefschetz theorem | - |
dc.subject.keywordPlus | FUNDAMENTAL GROUP-SCHEME | - |
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