Staff Information
Shihoko Ishii

Graduate School of Science and Engineering,
Tokyo Institute of Technology, Professor
Field: Algebraic Geometry, Singularities

Office: Main Building 6 (2nd floor)
Fax: (03)5734-2738

International Conference Convex Bodies & Algebraic Geometry
program
International Conference Singularity Theory and Commutative Algebra
Pictures of the "Fourth Franco-Japanese Symposium on Singularities"
Pictures of the "Invariants in Algebraic Geometry"
Pictures of the "Party: Miyaoka 60"


Papers

  1. Some projective contraction theorems, Manuscripta Math. 22, (1977) 343-358
  2. Moduli of subrings of a local ring, Jour. of Alg. 67, (1980) 504-516
  3. Global Moduli of equisingular complete curves, Jour. of Alg. 78, (1982) 255-264
  4. Moduli space of polarized del Pezzo surfaces and its compactifications, Tokyo Jour. of Math. 5, (1982) 289-297
  5. A characterization of hyperplane cuts of smooth complete intersections, Proc. Japan Acad. 58, (1982) 309-311
  6. Chow instability of certain projective varieties, Nagoya Math. Jour. 92, (1983) 39-50
  7. On the pluri-genera and mixed Hodge structures of isolated singularities, Proc. Japan Acad. 59, (1983) 355-357
  8. On isolated Gorenstein singularities, Math. Ann. 270, (1985) 541-554
  9. Du Bois singularities on a normal surface, in Advanced Study in Pure Math. 8: Complex analytic singularities, (1986) 153-163
  10. Isolated Q-Gorenstein singularities of dimension three, Advanced Study in Pure Math. 8. Complex analytic singularities, (1986) 165-198
  11. Small deformations of normal singularities, Math. Ann. 275, (1986) 139-148
  12. Two dimensional singularities with bounded pluri-genera are Q-Gorenstein singularities, Contemporary Math. 90, (1989) 135-145
  13. The asymptotic behavior of pluri-genera for a normal isolated singularity, Math. Ann. 286, (1990) 803-812
  14. Quasi-Gorenstein Fano 3-folds with the isolated non-rational loci Compositio Math. 77, (1991) 335-341
  15. Simultaneous canonical modifications of deformations of isolated singularities, Algebraic Geometry and Analytic Geometry, Proceeding of the Satellite Conference of ICM 90, Springer Lecture Note, (1991) 81-100
  16. (with K.Watanabe) A geometric characterization of a simple K3-singularity, Tohoku Math J. 44, (1992) 19-24
  17. Plurigenera of normal isolated singularities, Singularity Theory, pp.263-275, World Scientific, 1995
  18. A Fano 3-fold with non-rational singularities and a two-dimensional basis, Abhandlungen Math. Hamburg 64, (1994) 249-277
  19. The weighted blowing ups of singularities with $e_kappa=0$, Proceeding of the Conference of Singularities Beijin 1997 </LI> <LI> The canonical modifications by weighted blow-ups, Jour. of Alg. Geom. <STRONG>5</STRONG>, (1996) 783-799 </LI> <LI> Minimal, canonical and log-canonical models of hypersurface singularities, Contemporary Math. 207 (1997) 63-77
  20. (with H.Chen) On $-K^2$ for normal surface singularities, Int. J. Math. 9 (1998) 653-668
  21. The minimal model theorem for divisors of toric varieties, Tohoku Math. J. 51, (1999) 213-226
  22. The quotient of log-canonical singularities by finite groups. Advanced Studies in Pure Math. 29, (2000) 135-161
  23. (with M.Tomari) Hypersurface non-rational singularities which look canonical from their Newton boundaries. Math. Zeitschrift, 237, (2001) 125-147
  24. On toric image divisors. Communications in Algebra 29 (3) (2001) 1165-1173.
  25. (with Y. Prokhorov) Hypersurface exceptional singularities. Int. J. Math. 12 (2001) 661-687
  26. (with H. Chen) On $-K^2$ for normal surface singularities II. Int. J. Math. 11, (9) (2000) 1193-1202
  27. The invariant $-K^2$ and continued fractions for 2-dimensional cyclic quotient singularities. Abhandlungen Math. Sem. 72 (2002) 207-215
  28. (with P. Milman) The geometric minimal models of analytic spaces. Math. Ann. 323 (2002) 437-451
  29. Extremal functions and prime blow-ups. to appear in Comm. Alg.
  30. (with J. Kollar) The Nash problem on arc families of singularities. Duke Math. J. 120 (2003) 601-620
  31. The arc space of a toric variety. J. Algebra 278 (2004) 666-683.
  32. Arcs, valuations and the Nash maps. J. reine und angewandte Math.588 (2005) 71-92
  33. The local Nash problem on arc families of singularities. Annales de L'Institut Fourier. 056 (2006) 1207-1224 <LI> Jet schemes, arc spaces and the Nash problem, C.R.Math. Rep. Acad. Canada, <STRONG>29</STRONG> (2007) 1--21 <LI> Maximal divisorial sets in arc spaces, Adv. St. Pure Math. <STRONG>50</STRONG> (2008) 237--249
  34. (with T. De Fernex & L. Ein) Divisorial valuations via arcs, Publ. RIMS, 44 (2008) 425-448
  35. Smoothness and jet schemes, to appear in Adv.St. Pure Math.
    36. **

    Link

      Link to "Singularities Calender by Herwig Hauser
      Last update: December 5, 2005