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,
    arXiv:2312.13599
  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, 27p. (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)