Birationally Rigid Complete Intersections with a Singular Point of High Multiplicity
2018 ◽
Vol 62
(1)
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pp. 221-239
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Keyword(s):
AbstractWe prove the birational rigidity of Fano complete intersections of index 1 with a singular point of high multiplicity, which can be close to the degree of the variety. In particular, the groups of birational and biregular automorphisms of these varieties are equal, and they are non-rational. The proof is based on the techniques of the method of maximal singularities, the generalized 4n2-inequality for complete intersection singularities and the technique of hypertangent divisors.
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2013 ◽
Vol 150
(3)
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pp. 369-395
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2019 ◽
Vol 21
(02)
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pp. 1850011
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2019 ◽
Vol 29
(07)
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pp. 1165-1191
1976 ◽
Vol 61
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pp. 103-111
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2016 ◽
Vol 285
(1-2)
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pp. 479-492
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2012 ◽
Vol 22
(06)
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pp. 1250049
2013 ◽
Vol 149
(6)
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pp. 1041-1060
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2017 ◽
Vol 69
(6)
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pp. 1274-1291
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