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Matematicheskie Zametki, 2021, Volume 110, Issue 2, Pages 258–265
DOI: https://doi.org/10.4213/mzm13083 (Mi mzm13083) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Remarks on Galois Rational Coverings

A. V. Pukhlikov

Department of Mathematical Sciences, University of Liverpool
Full-text PDF (451 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm13083
Abstract: The author's recent theorem on Galois rational coverings X⇢V for primitive Fano varieties V is strengthened in two directions: first, the class of Galois groups G is enlarged to the maximal class for which the proof works, and second, the conditions on the variety V are relaxed to the divisorial canonicity requirement.
Keywords: Fano variety, divisorial canonicity, cyclic covering, branch divisor, rational map.
Received: 25.03.2021
Revised: 17.04.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 2, Pages 242–247
DOI: https://doi.org/10.1134/S0001434621070257
Bibliographic databases:
Document Type: Article
UDC: 512.76
Language: Russian
Citation: A. V. Pukhlikov, “Remarks on Galois Rational Coverings”, Mat. Zametki, 110:2 (2021), 258–265; Math. Notes, 110:2 (2021), 242–247
Citation in format AMSBIB
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\by A.~V.~Pukhlikov
\paper Remarks on Galois Rational Coverings
\jour Mat. Zametki
\yr 2021
\vol 110
\issue 2
\pages 258--265
\mathnet{http://mi.mathnet.ru/mzm13083}
\crossref{https://doi.org/10.4213/mzm13083}
\transl
\jour Math. Notes
\yr 2021
\vol 110
\issue 2
\pages 242--247
\crossref{https://doi.org/10.1134/S0001434621070257}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000687705200025}
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  • https://www.mathnet.ru/eng/mzm13083
  • https://doi.org/10.4213/mzm13083
  • https://www.mathnet.ru/eng/mzm/v110/i2/p258
    • This publication is cited in the following 3 articles:
    1. Taro Hayashi, “Galois skew lines of smooth surfaces in P3”, Communications in Algebra, 2024, 1  crossref
    2. T. Hayashi, “Ramification locus of projections of smooth hypersurfaces to be Galois rational covers”, Geom. Dedicata, 217:4 (2023), 73  crossref
    3. A. V. Pukhlikov, “Effective results in the theory of birational rigidity”, Russian Math. Surveys, 77:2 (2022), 301–354  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:46
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