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This article is cited in 12 scientific papers (total in 12 papers)
On the existence of complements of the canonical divisor for Mori conic bundles
Yu. G. Prokhorov M. V. Lomonosov Moscow State University
Abstract:
This paper continues the author's study of extremal contractions in the sense of Mori from three-dimensional varieties onto surfaces. Such contractions occur in a natural way in the birational classification theory of three-dimensional algebraic varieties. Reid's “general elephant” conjecture of the complementedness of the canonical divisor and also the conjecture about singularities of the base surface are discussed. The situation is studied locally near a singular fibre.
Received: 21.01.1997
Citation:
Yu. G. Prokhorov, “On the existence of complements of the canonical divisor for Mori conic bundles”, Mat. Sb., 188:11 (1997), 99–120; Sb. Math., 188:11 (1997), 1665–1685
Linking options:
https://www.mathnet.ru/eng/sm277https://doi.org/10.1070/sm1997v188n11ABEH000277 https://www.mathnet.ru/eng/sm/v188/i11/p99
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Abstract page: | 500 | Russian version PDF: | 190 | English version PDF: | 15 | References: | 62 | First page: | 3 |
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