Research Areas
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Natural Science / Geometry
Graduating School
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University of the Ryukyus, Faculty of Science, Department of Mathematics
1992.03, Graduated
Graduate School
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University of Tsukuba, Graduate School, Division of Mathematics, Mathematics
Doctor's Course, 1997.03, Completed
External Career
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Gunma National College of Technology, Lecturer, 1997.04 - 2005.09
Academic Society Affiliations
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The Mathematical Society of Japan
Research Career
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Complex surface singularities, 1995.04 -
Invariants of singularities
Papers
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NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES, NAGOYA MATHEMATICAL JOURNAL, 2022.03
Okuma Tomohiro, Rossi Maria Evelina, Watanabe Kei-Ichi, Yoshida Ken-Ichi
Multiple Authorship (Including Foreigners)
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THE NORMAL REDUCTION NUMBER OF TWO-DIMENSIONAL CONE-LIKE SINGULARITIES, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 149(11) 4569-4581, 2021.11
Okuma Tomohiro, Watanabe Kei-ichi, Yoshida Ken-ichi
Multiple Authorship (Only Japanese)
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Normal reduction numbers of normal surface singularities, Singularities and Their Interaction with Geometry and Low Dimensional Topology. Trends in Mathematics. , 159-179, 2021
Tomohiro Okuma
Single Author
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WEIGHTED HOMOGENEOUS SURFACE SINGULARITIES HOMEOMORPHIC TO BRIESKORN COMPLETE INTERSECTIONS, JOURNAL OF SINGULARITIES, 23 170-193, 2021
Okuma Tomohiro
Single Author
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Normal Reduction Numbers for Normal Surface Singularities with Application to Elliptic Singularities of Brieskorn Type, Acta Mathematica Vietnamica, 44(1) 87-100, 2019.03
T. Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida
Multiple Authorship (Only Japanese)
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Cohomology of ideals in elliptic surface singularities, Illinois Journal of Mathematics , 61(3-4) 259-273, 2018.08
T. Okuma
Single Author
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A characterization of two-dimensional rational singularities via Core of ideals, J. Algebra, 499 450-468, 2018.04
T. Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida
Multiple Authorship (Only Japanese)
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Analytic singularities supported by a specific integral homology sphere link, Methods and Applications of Analysis , 24(2) 303-320, 2017.06
A. Nemethi, T. Okuma
Multiple Authorship (Including Foreigners)
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A remark on metrically conical surface singularities of Brieskorn type, Saitama Mathematical Journal , 31 137-139, 2017.05
T. Okuma
Single Author
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Rees algebras and $p_g$-ideals in a two-dimensional normal local domain, Proceedings of the American Mathematical Society , 145(1) 39-47, 2017.01
T. Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida
Multiple Authorship (Only Japanese)
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Good ideals and $p_g$-ideals in two-dimensional normal singularities, Manuscripta Mathematica , 150(3-4) 499-520, 2016.07
T. Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida
Multiple Authorship (Only Japanese)
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The multiplicity of abelian covers of splice quotient singularities, Mathematische Nachrichten , 288(2-3) 343-352, 2015.02
T. Okuma
Single Author
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The maximal ideal cycles over complete intersection surface singularities of Brieskorn type, Kyushu Journal of Mathematics , 68 121-137, 2014.03
Fan-Ning Meng, T. Okuma
Multiple Authorship (Including Foreigners)
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Invariants of splice quotient singularities, IRMA Lectures in Mathematics and Theoretical Physics, 20 149-159, 2012.12
T. Okuma
Single Author
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The embedding dimension of weighted homogeneous surface singularities, Journal of Topology , 3(3) 643-667, 2010.08
Andras Nemethi, Tomohiro Okuma
Multiple Authorship (Including Foreigners)
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The geometric genus, the Casson invariant conjecture and splice type singularities, Demonstratio Mathematica , 43(2) 325-338, 2010.05
Tomohiro Okuma
Single Author
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Another proof of the end curve theorem for normal surface singularities, Journal of the Mathematical Society of Japan , 62(1) 1-11, 2010.01
Tomohiro Okuma
Single Author
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On the Casson invariant conjecture of Neumann-Wahl, Journal of Algebraic Geometry, 18(1) 135-149, 2008.12
Andras Nemethi, Tomohiro Okuma
Multiple Authorship (Including Foreigners)
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The geometric genus of splice-quotient singularities, Transactions of the American Mathematical Society, 360(12) 6643-6659, 2008.11
Tomohiro Okuma
Single Author
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The Seiberg-Witten invariant conjecture for splice-quotients, Journal of the London Mathematical Society. Second Series, 78(1) 143-154, 2008.08
Andras Nemethi, Tomohiro Okuma
Multiple Authorship (Including Foreigners)
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Universal abelian covers of certain surface singularities, Mathematische Annalen, 334(4) 753-773, 2006.04
Tomohiro Okuma
Single Author
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Numerical Gorenstein elliptic singularities, Mathematische Zeitschrift, 249(1) 31-62, 2005.01
Okuma, Tomohiro
Single Author
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Universal abelian covers of rational surface singularities, Journal of the London Mathematical Society. Second Series, 70(2) 307-324, 2004.10
Okuma, Tomohiro
Single Author
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On (-P . P)-constant deformations of Gorenstein surface singularities, Commentarii Mathematici Helvetici, 79(3) 647-658, 2004.09
Okuma, Tomohiro
Single Author
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A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model, Proceedings of the American Mathematical Society, 129(10) 2823-2831, 2001.10
Tomohiro Okuma
Single Author
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Simultaneous good resolutions of deformations of Gorenstein surface singularities, International Journal of Mathematics, 12(1) 49-61, 2001.02
Okuma, Tomohiro
Single Author
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The polynomial periodicity of the plurigenera of surface singularities, Saitama Mathematical Journal, 17 7-13, 1999.12
Okuma, Tomohiro
Single Author
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The pluri-genera of surface singularities, The Tohoku Mathematical Journal. Second Series, 50(1) 119-132, 1998.03
Okuma, Tomohiro
Single Author
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The second pluri-genus of surface singularities, Compositio Mathematica, 110(3) 263-276, 1998.02
Okuma, Tomohiro
Single Author
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The plurigenera of Gorenstein surface singularities, Manuscripta Mathematica, 94(2) 187-194, 1997.10
Okuma, Tomohiro
Single Author
Books
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Plurigenera of surface singularities, Nova Science Publishers Inc., 2000.05
Okuma, Tomohiro
Review Papers
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Recent topics on complex surface singularities with a focus on splice quotient singularities, Sugaku, 67(4) 373-393, 2015.10
Tomohiro Okuma
Grant-in-Aid for Scientific Research
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Grant-in-Aid for Scientific Research(C),2021.04 - 2026.03
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Grant-in-Aid for Scientific Research(C),2017.04 - 2021.03
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Grant-in-Aid for Scientific Research(C),2014.04 - 2017.03
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Grant-in-Aid for Scientific Research(C),2011.04 - 2014.03
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Grant-in-Aid for Scientific Research(C),2008.04 - 2011.03
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Grant-in-Aid for Young Scientists(B),2006.04 - 2008.03
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Grant-in-Aid for Young Scientists(B),2004.04 - 2006.03