Website of Masayuki Kawakita

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Papers

  1. Minimal log discrepancies on a fixed threefold,
    arXiv:2412.03006
  2. Minimal log discrepancies on smooth threefolds,
    to appear in Journal of the London Mathematical Society
  3. On equivalent conjectures for minimal log discrepancies on smooth threefolds,
    Journal of Algebraic Geometry 30, no 1, 97-149 (2021)
  4. Divisors computing the minimal log discrepancy on a smooth surface,
    Mathematical Proceedings of the Cambridge Philosophical Society 163, no 1, 187-192 (2017)
  5. A connectedness theorem over the spectrum of a formal power series ring,
    International Journal of Mathematics 26, no 11, Article ID 1550088, 27pp (2015)
  6. The index of a threefold canonical singularity,
    American Journal of Mathematics 137, no 1, 271-280 (2015)
  7. Ideal-adic semi-continuity of minimal log discrepancies on surfaces,
    Michigan Mathematical Journal 62, no 2, 443-447 (2013)
  8. Discreteness of log discrepancies over log canonical triples on a fixed pair,
    Journal of Algebraic Geometry 23, no 4, 765-774 (2014)
  9. Supplement to classification of threefold divisorial contractions,
    Nagoya Mathematical Journal 206, 67-73 (2012)
  10. Ideal-adic semi-continuity problem for minimal log discrepancies,
    Mathematische Annalen 356, no 4, 1359-1377 (2013)
  11. Towards boundedness of minimal log discrepancies by Riemann--Roch theorem,
    American Journal of Mathematics 133, no 5, 1299-1311 (2011)
  12. On a comparison of minimal log discrepancies in terms of motivic integration,
    Journal für die reine und angewandte Mathematik 620, 55-65 (2008)
  13. Inversion of adjunction on log canonicity,
    Inventiones mathematicae 167, no 1, 129-133 (2007)
  14. Three-fold divisorial contractions to singularities of higher indices,
    Duke Mathematical Journal 130, no 1, 57-126 (2005)
  15. General elephants of three-fold divisorial contractions,
    Journal of the American Mathematical Society 16, no 2, 331-362 (2003), erratum
  16. Divisorial contractions in dimension three which contract divisors to compound A1 points,
    Compositio Mathematica 133, no 1, 95-116 (2002)
  17. Divisorial contractions in dimension three which contract divisors to smooth points,
    Inventiones mathematicae 145, no 1, 105-119 (2001)