Furukawa Katsuhisa

フルカワカツヒサ | Furukawa Katsuhisa

Affiliation and department：

Research field (1)： Algebra

Research theme for competitive and other funds (4)：

2022 - 2027 Projective geometry in arbitrary characteristic and its application to fundamental algebraic varieties
2016 - 2019 任意標数の射影幾何と基本的射影多様体の特徴づけ
2013 - 2014 任意標数の射影幾何と代数多様体上の有理曲線族
2010 - 2012 Projective Algebraic Geometry in Positive Characteristic

Papers (13)：

Katsuhisa Furukawa. Dimension of the space of conics on Fano hypersurfaces. Journal of Pure and Applied Algebra. 2022. 226. 6
Katsuhisa Furukawa, Atsushi Ito. A combinatorial description of dual defects of toric varieties. Communications in Contemporary Mathematics. 2021. 23. 2050001-1-2050001-31
K. Furukawa, A. Ito. On separable higher Gauss maps. Michigan Mathematical Journal. 2019. 68. 3. 483-503
K. Furukawa, A. Ito. Gauss maps of toric varieties. Tohoku Mathematical Journal. 2017. 69. 3. 431-454
K. Furukawa, A. Ito. On Gauss maps in positive characteristic in view of images, fibers, and field extensions. International Mathematics Research Notices. 2017. 2017. 8. 2337-2366

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