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Izvestiya: Mathematics, 2001, Volume 65, Issue 1, Pages 75–84
DOI: https://doi.org/10.1070/im2001v065n01ABEH000321 (Mi im321) 		 
On the classification of Mori contractions: the case of an elliptic curve

Yu. G. Prokhorov

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.1070/im2001v065n01ABEH000321
Abstract: We study three-dimensional Mori contractions $f\colon X\to Z$. It is proved that in a “good” model $(\overline{X},\overline{S})$ there are no elliptic components of $\operatorname{Diff}_{\overline{S}}$ with coefficients $\geqslant 6/7$.
Received: 12.09.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 1, Pages 81–92
DOI: https://doi.org/10.4213/im321
Bibliographic databases:
MSC: 14E30, 14E05
Language: English
Original paper language: Russian
Citation: Yu. G. Prokhorov, “On the classification of Mori contractions: the case of an elliptic curve”, Izv. RAN. Ser. Mat., 65:1 (2001), 81–92; Izv. Math., 65:1 (2001), 75–84
Citation in format AMSBIB
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\by Yu.~G.~Prokhorov
\paper On the classification of Mori contractions: the case of an elliptic curve
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 1
\pages 81--92
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\crossref{https://doi.org/10.4213/im321}
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\zmath{https://zbmath.org/?q=an:1011.14006}
\elib{https://elibrary.ru/item.asp?id=13380048}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 1
\pages 75--84
\crossref{https://doi.org/10.1070/im2001v065n01ABEH000321}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747088819}
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:419
    Russian version PDF:168
    English version PDF:10
    References:48
    First page:3
     
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