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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 299, Pages 219–233
DOI: https://doi.org/10.1134/S0371968517040148 (Mi tm3824) 		 
Factorial hypersurfaces

A. V. Pukhlikov

Department of Mathematical Sciences, The University of Liverpool, Mathematical Sciences Building, Liverpool L69 7ZL, UK
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DOI: https://doi.org/10.1134/S0371968517040148
Abstract: The codimension of the complement of the set of factorial hypersurfaces of degree $d$ in $\mathbb P^N$ is estimated for $d\geq 4$ and $N\geq 7$.
Keywords: factoriality, hypersurface, singularity.
Received: September 3, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 299, Pages 205–218
DOI: https://doi.org/10.1134/S0081543817080144
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. V. Pukhlikov, “Factorial hypersurfaces”, Analytic number theory, On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba, Trudy Mat. Inst. Steklova, 299, MAIK Nauka/Interperiodica, Moscow, 2017, 219–233; Proc. Steklov Inst. Math., 299 (2017), 205–218
Citation in format AMSBIB
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\by A.~V.~Pukhlikov
\paper Factorial hypersurfaces
\inbook Analytic number theory
\bookinfo On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 299
\pages 219--233
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968517040148}
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\pages 205--218
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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