論文

• SHIHOKO ISHII. Nash problem for a toric pair and the minimal log-discrepancy, Comptes Rendus Math. Acad. Sci. Paris, Vol. 348, pp. 985-988, 2010.
• SHIHOKO ISHII. Isomorphisms of jet schemes, Comptes Rendus Math. Rep. Acad. Sci. Canada., Vol. 32, pp. 19-23, 2010.
• SHIHOKO ISHII. Smoothness and jet schemes, Advanced Studies in Pure Mathematics, Vol. 56, pp. 187-199, Dec. 2009.
• Shihoko Ishii. Maximal divisorial sets in arc spaces, Advanced Studies in Pure Mathematics, Vol. 50, pp. 237-249, Mar. 2008.
• Tommaso de Fernex, Lawrence Ein, Shihoko Ishii. Divisorial valuations via arcs, Publ. RIMS, Kyoto Univ., Vol. 44, pp. 425-448, 2008.
• Shihoko Ishii. Jet schemes, arc spaces and the Nash problem, C.R.Math. Rep. Acad. Sci. Canada, Vol. 29, No. 1, pp. 1-21, Mar. 2007.
• SHIHOKO ISHII. Jet schemes, arc spaces and the Nash map, C.R. Math. Rep. Acad. Sci. Canada, Vol. 29, No. 1, pp. 1--21, Mar. 2007.
• Shihoko Ishii. The local Nash problem on arc families of singularities, Annales de L'Institut Fourier, Vol. 56, No. 4, pp. 1207-1224, 2006.
• Shihoko Ishii. Arcs, valuations and the Nash map, J. reine angew Math., Vol. 588, pp. 71-92, 2005.
• SHIHOKO ISHII. The arc space of a toric variety., Journal of Algebra, Vol. 278, pp. 666-683, 2004.
• SHIHOKO ISHII. Extremal functions and prime blow-ups., Comm. Alg., Vol. 32, No. 2, pp. 819-817, 2004.
• Shihoko Ishii, Janos Kollar. The Nash problem on arc families of singularities., Duke Math. J., Vol. 120, No. 3, pp. 601-620, 2003.
• SHIHOKO ISHII. The invariant -K2 and continued fractions for 2-dimensional cyclic quotient singularities., Abhandlungen Math. Sem. Hamburg,, Vol. 72, 207-215, 2002.
• Shihoko Ishii, Pierre Milman. The geometric minimal models of analytic spaces, Mathematische Annalen, Vol. 323, pp. 437-451, 2002.
• SHIHOKO ISHII. Hypersurface exceptional singularities, International Journal of Mathematics, Vol. 12, No. 6, pp. 661-687, 2001.
• SHIHOKO ISHII. Hypersurface non-rational singularities which look canonical from their Newton boundaries., Math. Zeitschrift, Vol. 237, pp. 125-147, 2001.
• SHIHOKO ISHII. On toric image divisors, Communications in Algebra, Vol. 29, No. 3, pp. 1165-1173, 2001.
• SHIHOKO ISHII. The quotient of log-canonical singularities by finite groups, Advanced Studies in Pure Mathematics, Vol. 29, pp. 135-161, 2000.
• Hao Chen, Shihoko ishii. On -K² for normal surface singularities II, International Journal of Mathematics, Vol. 11, No. 9, pp. 1193-1202, 2000.
• SHIHOKO ISHII. The minimal model theorem for divisors of toric varieties, Tohoku Math. J., Vol. 51, pp. 213-226, 1999.
• Hao Chen, Shihoko Ishii. On -K² for normal surface singularities, International J. Math., Vol. 9, No. 6, pp. 653-668, 1998.
• SHIHOKO ISHII. The weighted blowing ups of singularities with k=o, Studies in Adv. Math., Vol. 5, pp. 75-82, 1997.
• SHIHOKO ISHII. Minimal, canonical and log-canonical models of hypersurface singularities, Contemporary Math., Vol. 207, pp. 63-77, 1997.
• SHIHOKO ISHII. The canonical modifications by weighted blow-ups, J. of Algebraic Geometry, Vol. 5, pp. 783-799, 1996.
• SHIHOKO ISHII. A Fano 3-fold with non-rational singularities and a two dimensional basis, Abhandlungen Math. Hamburg, Vol. 64, pp. 249-277, 1994.
• Shihoko Ishii, Kimio Watanabe. A geometric characterization of a simple K3-Singularities, Tohoku Math. J., Vol. 44, pp. 19-24, 1992.
• SHIHOKO ISHII. Simultaneous canonical modifications of deformations of isolated singularities, Springer lecture Note, Proceeding of Satellite Conference of ICM60, Algebraic Geometry and Analytic Geometry, pp. 81-100, 1991.
• SHIHOKO ISHII. Quasi-Gorenstein Fano 3-folds with the isolated non-rational loci, Compositio Math., Vol. 77, pp. 335-341, 1991.
• SHIHOKO ISHII. The Asymptotic Behavior of Pluri-genera for a Normal Isolated Singnlarity, Mathematische Annalen, Vol. 286, pp. 803-812, 1990.
• SHIHOKO ISHII. Two dimensional Sigularities with Bounded Pluri-genera δm are Q-Gorenstein Singnlarities, Proceeding of Symposium of Singnlarities Iowa 1986 Contemporary Mathematics, Vol. 90, pp. 139-145, 1989.
• SHIHOKO ISHII. Small Deformations of Normal Singularities, Mathematische Annalen, Vol. 275, pp. 139-148, 1986.
• SHIHOKO ISHII. Isolated Q-Gorenstein singularities of dimension three, Advanced Studies in Pure Mathematics, Vol. 8, pp. 165, 1986.
• SHIHOKO ISHII. Du Bois singularities on a normal surface, Advanced Studies in Pure Mathematics, Vol. 8, pp. 153, 1986.
• SHIHOKO ISHII. On isolated Gorenstein singularities, Mathematische Annalen, Vol. 270, pp. 541, 1985.
• SHIHOKO ISHII. A characterization of hyperplane cuts of smooth complete intersections, Proceedings of Japan Academy, Vol. 58, pp. 309, 1983.
• SHIHOKO ISHII. On pluri-genera and mixed Hodge structures of isolated singularities, Proceedings of the Japan Academy, Vol. 59, pp. 355, 1983.
• SHIHOKO ISHII. Chow instability of certain projective varieties, Nagoya Mathematical Journal, Vol. 92, pp. 39, 1983.
• SHIHOKO ISHII. Moduli space of polarized del Pezzo surfaces and its compactication, Tokyo Journal of Mathematics, Vol. 5, pp. 289, 1982.
• SHIHOKO ISHII. Global moduli of equisingular complete curves, Journal of Algebra, Vol. 78, pp. 264, 1982.
• SHIHOKO ISHII. Moduli of subrings of a local ring, Journal of Algebra, Vol. 67, pp. 504, 1980.
• SHIHOKO ISHII. Some projective contraction theorems, Manuscripta Mathematica, Vol. 22, pp. 343, 1977.

著書

• 石井志保子. 数学の道しるべ 研究者の道とは何か, サイエンス社, Page 202, Apr. 2011.
• 石井志保子. 運命のつながり ガロワ理論, この定理が美しい, 数学書房, June 2009.
• ボイテルスパッヒャー著, 石井志保子訳. 数学はいつも苦手だった, 日本評論社, Oct. 2004.
• SHIHOKO ISHII. Singularities in the world of mathematics, in "My Life", 内田老鶴圃, Page 332, June 2001.
• 石井志保子. 現代数学の展望, 日本評論社, 日本評論社, pp. 210, 2001.
• 石井志保子. 特異点入門, シュプリンガーフェアラーク東京, シュプリンガーフェアラーク東京, Vol. 1, pp. 263, 1997.
• SHIHOKO ISHII. Plurigenera of normal isolated singularities, Singularity Theory, World Scientific, Singularity Theory, World Scientific, pp. 263-275, 1995.

学位論文

• Moduli of subrings of a local ring,  本文,  Doctor of Science,  東京都立大学 ,  1984/--/--, 

[ BibTeX 形式で保存 ]    [ 論文・著書をCSV形式で保存 ]    [ 特許をCSV形式で保存 ]