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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 246, Pages 116–141 (Mi tm149)  
This article is cited in 19 scientific papers (total in 19 papers)

Mori Structures on a Fano Threefold of Index 2 and Degree 1

M. M. Grinenko

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (338 kB) Citations (19)
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Abstract: It is proved that the Mori structures on a nonsingular Fano threefold of index 2 and degree 1 are represented precisely by this Fano variety itself and by fibrations into del Pezzo surfaces of degree 1 that emerge from the blowups of curves of arithmetic genus 1 and degree 1. In particular, such a Fano variety is nonrational and all its birational automorphisms are regular.
Received in February 2004
Bibliographic databases:
Document Type: Article
UDC: 512.763
Language: Russian
Citation: M. M. Grinenko, “Mori Structures on a Fano Threefold of Index 2 and Degree 1”, Algebraic geometry: Methods, relations, and applications, Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 246, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 116–141; Proc. Steklov Inst. Math., 246 (2004), 103–128
Citation in format AMSBIB
\Bibitem{Gri04}
\by M.~M.~Grinenko
\paper Mori Structures on a~Fano Threefold of Index~2 and Degree~1
\inbook Algebraic geometry: Methods, relations, and applications
\bookinfo Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 246
\pages 116--141
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm149}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2101287}
\zmath{https://zbmath.org/?q=an:1120.14031}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 246
\pages 103--128
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