논문KCI 등재
Birational rigidity is not an open property
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초록
We show that birational rigidity of Mori fibre spaces is not open in moduli.
Abstract
We show that birational rigidity of Mori fibre spaces is not open in moduli.
참고문헌 (8)
- M. Artin, "Some numerical criteria of contractability of curves on algebraic surfaces", Amer. J. Math, 84, pp.485~496 (1962)
- A. Corti, "Explicit birational geometry of 3-folds", pp.259~312 (2000), Cambridge Univ. Press
- A. Corti, "Birational geometry of terminal quartic 3-folds I", Amer. J. Math, 126(4), pp.739~761 (2004)
- V. Iskovskikh, "Birational automorphisms of multidimensional algebraic manifolds", J. Math. Sci, 82(4), pp.3528~3613 (1996)
- M. Kawakita, "Divisorial contractions in dimension three which contracts divisors to smooth points", Invent. Math, 145(1), pp.105~119 (2001)
- A. Pukhlikov, "Explicit birational ge-ometry of 3-folds", pp.73~100 (2000), Cambridge Univ. Press
- A. Pukhlikov, "Birationally rigid varieties" (2013), AMS
- K. Shramov, "Q-factorial quartic threefolds", Sb. Math, 198(7-8), pp.1165~1174 (2007)
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