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We prove that in the parameter space of $M$-dimensional Fano complete intersections of index one and codimension two the locus of varieties that are not birationally superrigid has codimension at least $\frac12 (M-9)(M-10)-1$.
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참고문헌 (25)
참고문헌 신청
H. Ahmadinezhad / Birationally rigid Pfaffian Fano 3-folds / ArXiv:1508.02974
F. Call / 1994 / Commutative algebra: syzygies, multiplicities, and birational algebra / Amer. Math. Soc. :15~18
I. A. Cheltsov / 2003 / Nonrationality of a four-dimensional smooth complete intersection of a quadric and a quadric not containing a plane / Sb. Math 194(11-12):1679~1699
I. A. Cheltsov / 2006 / Double cubics and double quartics / Math. Z 253(1):75~86
Ivan Cheltsov / 2017 / Birational rigidity is not an open property / 대한수학회보 54(5):1485~1526
F. Call / 1994 / Commutative algebra: syzygies, multiplicities, and birational algebra / Amer. Math. Soc. :15~18
I. A. Cheltsov / 2003 / Nonrationality of a four-dimensional smooth complete intersection of a quadric and a quadric not containing a plane / Sb. Math 194(11-12):1679~1699
I. A. Cheltsov / 2006 / Double cubics and double quartics / Math. Z 253(1):75~86
Ivan Cheltsov / 2017 / Birational rigidity is not an open property / 대한수학회보 54(5):1485~1526
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