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Birational rigidity is not an open property

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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)

  1. M. Artin, "Some numerical criteria of contractability of curves on algebraic surfaces", Amer. J. Math, 84, pp.485~496 (1962)
  2. A. Corti, "Explicit birational geometry of 3-folds", pp.259~312 (2000), Cambridge Univ. Press
  3. A. Corti, "Birational geometry of terminal quartic 3-folds I", Amer. J. Math, 126(4), pp.739~761 (2004)
  4. V. Iskovskikh, "Birational automorphisms of multidimensional algebraic manifolds", J. Math. Sci, 82(4), pp.3528~3613 (1996)
  5. M. Kawakita, "Divisorial contractions in dimension three which contracts divisors to smooth points", Invent. Math, 145(1), pp.105~119 (2001)
  6. A. Pukhlikov, "Explicit birational ge-ometry of 3-folds", pp.73~100 (2000), Cambridge Univ. Press
  7. A. Pukhlikov, "Birationally rigid varieties" (2013), AMS
  8. K. Shramov, "Q-factorial quartic threefolds", Sb. Math, 198(7-8), pp.1165~1174 (2007)

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