Papers and Preprints


List of Publications and Preprints

All preprints are available at arXiv.org.
List in MathSciNet (available only with licence).

  1. An interpretation of multiplier ideals via tight closure
    J. Algebraic. Geom. 13 (2004), 393-415.

  2. When does the subadditivity theorem for multiplier ideals hold?
    (with Kei-ichi Watanabe), Trans. Amer. Math. Soc. 356 (2004), no. 10, 3951-3961.

  3. On a genaralization of test ideals
    (with Nobuo Hara), Nagoya Math. J. 175 (2004), 59-74.

  4. F-singularities of pairs and Inversion of Adjunction of arbitrary codimension
    Invent. Math. 157 (2004), no.1, 123-146.

  5. On F-pure thresholds
    (with Kei-ichi Watanabe), J. Algebra 282 (2004), no.1, 278-297.

  6. Formulas for multiplier ideals on singular varieties
    Amer. J. Math. 128 (2006), no.6, 1345-1362.

  7. F-thresholds and Bernstein-Sato polynomials
    (with Mircea Mustata and Kei-ichi Watanabe), European Congress of Mathematics, 341-364, Eur. Math. Soc., Zurich, 2005.

  8. A characteristic p analogue of plt singularities and adjoint ideals
    Math. Z. 259 (2008), no.2, 321-341.

  9. Generalized test ideals and Symbolic powers
    (with Ken-ichi Yoshida), Michigan Math. J. 57 (2008), 711-724.

  10. D-modules over rings with finite F-representation type
    (with Ryo Takahashi), Math. Res. Lett. 15 (2008), no.3, 563-581.

  11. Rational singularities associated to pairs
    (with Karl Schwede), Michigan Math. J. 57 (2008), 625-658.

  12. F-thresholds, tight closure, integral closure, and multiplicity bounds
    (with Craig Huneke, Mircea Mustata and Kei-ichi Watanabe), Michigan Math. J. 57 (2008), 463-483.

  13. Adjoint ideals along closed subvarieties of higher codimension
    J. Reine Angew. Math. 641 (2010), 145-162.

  14. Log canonical thresholds of binomial ideals
    (with Takafumi Shibuta), Manuscripta Math. 130 (2009), 45-61.

  15. Discreteness and rationality of F-jumping numbers on singular varieties
    (with Manuel Blickle, Karl Schwede and Wenliang Zhang), Math. Ann. 347 (2010), 917-949.

  16. Multiplicity bounds in graded rings
    (with Craig Huneke and Kei-ichi Watanabe), Kyoto J. math. 51 (2011), 127-147.

  17. Supplements to non-lc ideal sheaves
    (with Osamu Fujino and Karl Schwede), RIMS Kokyuroku Bessatsu, B24, Res. Inst. Math. Sci., Kyoto, 2011, 1--46

  18. Subadditivity formula for multiplier ideals associated to log pairs
    Proc. Amer. Math. Soc. 141 (2013), 93--102.

  19. Adjoint ideals and a correspondence between log canonicity and F-purity
    Algebra & Number Theory 7 (2013), 917--942.

  20. On the F-purity of isolated log canonical singularities
    (with Osamu Fujino), Compos. Math. 149 (2013), no.9, 1495--1510.

  21. Characterization of varieties of Fano type via singularities of Cox rings
    (with Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai), J. Algebraic. Geom. 24 (2015), 159--182.

  22. Surfaces of globally F-regular and F-split type
    (with Yoshinori Gongyo), Math. Ann. 364 (2016), 841--855.
    Note: There is a typo in Remark 5.7 in the published version. The imcomplete sentence ``This contradicts the Main Theorem in" should be ``This contradicts Main Theorem in [I. Yu. Fedorov and S. A. Kudryavtsev, Q-complements on log surfaces, Tr. Mat. Inst. Steklova 246 (2004), Algebr. Geom. Metody, Svyazi i Prilozh.,181--182; translation in Proc. Steklov Inst. Math. 2004, no. 3 (246), 169--170]."

  23. The weak ordinarity conjecture and F-singularities
    (with Bhargav Bhatt and Karl Schwede) , arXiv:1307.3763, to appear in Advanced Studies in Pure Mathematics (Kawamata's 60th volume).

  24. Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties
    (with Tommaso de Fernex, Roi Docampo and Kevin Tucker), Bull. London Math. Soc. 47 (2015), No.2, 359--369.

  25. F-singularities: applications of characteristic p methods to singularity theory
    (with Kei-ichi Watanabe), arXIv:1409.3473, to appear in Sugaku Expositions.

  26. On the relationship between depth and cohomological dimension
    (with Hailong Dao), Compos. Math. 152 (2016), no.4, 876--888.

  27. Nilpotence of Frobenius action and the Hodge filtration on local cohomology
    (with Vasudevan Srinivas), Adv. Math. 305 (2017), 456--478.

  28. A Gorenstein criterion for strongly F-regular and log terminal singularities
    (with Anurag Singh and Matteo Varbaro), arXIv:1603.08422, to appear in Int. Math. Res. Not.

  29. General hyperplane sections of threefolds in positive characteristic
    (wtih Kenta Sato), arXiv:1703.00770, preprint (2017), submitted.

  30. Finitistic test ideals on numerically Q-Gorenstein varieties
    arXiv:1709.09383, preprint (2017), submitted.

Erdoes # = 4 (P. Erdoes --> D. Kleitman --> L.Ein --> M. Mustata --> S. Takagi)

Other articles (mainly in Japanese)

  1. Annual Report 2001 [pdf], 2002 [pdf], 2003 [pdf], 2011 [pdf] 2012 [pdf] 2013 [pdf] 2014 [pdf] 2015 [pdf] 2016 [pdf]
    Graduate School of Mathematical Sciences, University of Tokyo (in Japanese and English).

  2. Annual Report 2004 [pdf], 2005 [pdf], 2006 [pdf], 2007 [pdf], 2008 [pdf] , 2009 [pdf], 2010 [pdf], 2011 [pdf]
    Department of Mathematics, Kyushu University (in Japanese).

  3. Invariant subrings under wild p-cyclic actions [pdf]
    Proceedings of the 13th Seminar on Commutative Algebra (Jan. 30-Feb. 2, 2001), Hakone, Japan (in Japanese).

  4. On jet schemes after Mustata [pdf]
    Proceedings of the 15th Seminar on Commutative Algebra (Jan. 28-31, 2003), Nara, Japan (in Japanese).

  5. Recent topics on multiplier ideals [pdf]
    (written by Daisuke Hirose), Proceedings of the workshop "Arc spaces and Multiplier ideals" (Aug. 28-Sep. 1, 2006), RIMS.

  6. 可換環論の発展 -ホモロジカル予想を中心として- [pdf]
    (with Ryo Takahashi), 第54回代数学シンポジウム報告集 (Aug. 3-6, 2009), 明治大学.

  7. A book review of Positivity in Algebraic Geometry I, II by Robert Lazarsfeld [pdf]
    Sugaku vol.62, 423-426, MSJ, 2010 (in Japanese).

  8. On Parameter F-jumping numbers [pdf]
    Slides for my talk at Special Session on Commutative Algebra, Joint AMS-MAA Mathematical Meetings (Jan. 7, 2011), New Orleans.

  9. $F$特異点論の最近の進展について [pdf]
    第59回代数学シンポジウム報告集 (Sep. 8-11, 2014), 東京大学.

  10. 対数的標準閾値と環論的性質 [pdf]
    都の西北代数幾何学シンポジウム報告集 (Nov. 15-18, 2016), 早稲田大学.


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