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Cyclic coverings and higher order embeddings of algebraic varieties
Fachbereich Mathematik und Informatik, Philipps-Universit├Ąt, Hans-Meerwein-Strasse, Lahnberge, 35032, MARBURG, GERMANY.
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-7186-1524
Department of Mathematics, Krakow Pedagogical Academy, ul. Podchorazych 2, 30-084, KRAKOW, POLAND.
2001 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 353, no 3, 877-891 p.Article in journal (Refereed) Published
Abstract [en]

In the present paper we study higher order embeddings in the context of cyclic coverings. Analyzing the positivity of the line bundle downstairs and its relationship with the branch divisor, we provide criteria for its pull-back to define an embedding of given order. We show that the obtained criteria are sharp. Finally, we apply them to various - sometimes seemingly unrelated-problems in algebraic geometry.

Place, publisher, year, edition, pages
2001. Vol. 353, no 3, 877-891 p.
Keyword [en]
ample line bundles, abelian-varieties, surfaces, systems
National Category
URN: urn:nbn:se:kth:diva-20217DOI: 10.1090/S0002-9947-00-02606-4ISI: 000165845700002OAI: diva2:338910
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2012-02-13Bibliographically approved

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