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Matematicheskie Zametki, 2012, Volume 91, Issue 4, Pages 608–616
DOI: https://doi.org/10.4213/mzm8820 (Mi mzm8820) 		 
This article is cited in 2 scientific papers (total in 2 papers)

$K$-Trivial Structures on Fano Complete Intersections

A. V. Pukhlikovab

a Steklov Mathematical Institute, Russian Academy of Sciences
b University of Liverpool, UK
Full-text PDF (490 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8820
Abstract: It is proved that any fiber space structure into varieties of Kodaira dimension zero on a generic Fano complete intersection of index 1 and of dimension $M$ in $\mathbb{P}^{M+k}$ is a pencil of hyperplane sections provided that $M\geqslant 2k+1$. The $K$-trivial structures on the varieties with a pencil of Fano complete intersections are described.
Keywords: Fano complete intersection, $K$-trivial structure, pencil of hyperplane sections.
Received: 18.06.2010
Revised: 18.12.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 4, Pages 568–574
DOI: https://doi.org/10.1134/S0001434612030315
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. V. Pukhlikov, “$K$-Trivial Structures on Fano Complete Intersections”, Mat. Zametki, 91:4 (2012), 608–616; Math. Notes, 91:4 (2012), 568–574
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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