Research Areas
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Natural Science / Algebra
Graduating School
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Hiroshima University, Faculty of Science, Department of Mathematics
2001.03, Graduated
Graduate School
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Hiroshima University, Graduate School, Division of Natural Science
Doctor's Course, 2006.03, Completed
External Career
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, Part-time researcher for university or other academic organization, 2006.04 - 2007.03
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, Special researcher of the Japan Society for the Promotion of Science, 2007.04 - 2009.09
Research Career
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Projective geometry of the Gauss map from the viewpoint of positive characteristic, 2007.04 -
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Classification theory of projective varieties by Galois point and new developments, 2010.04 -
Papers
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A new characterisation of the Fermat curve, ANNALI DI MATEMATICA PURA ED APPLICATA, 203(2) 635-646, 2024.04
Fukasawa, S
Single Author
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Galois points and rational functions with small value sets, Hiroshima Mathematical Journal, 54 37-43, 2024.03
Satoru Fukasawa
Single Author
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Algebraic curves admitting non-collinear Galois points, Rendiconti del Seminario Matematico della Universita di Padova, 149 183-190, 2023.06
Satoru Fukasawa
Single Author
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New examples of tangentially degenerate curves, Rendiconti Lincei - Matematica e Applicazioni, 33(4) 959-966, 2023.05
Satoru Fukasawa
Single Author
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Examples of plane curves admitting the same Galois closure for two projections, COMMUNICATIONS IN ALGEBRA, 50(10) 4188-4190, 2022.10
Fukasawa Satoru
Single Author
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An elementary abelian p-cover of the Hermitian curve with many automorphisms, MATHEMATISCHE ZEITSCHRIFT, 302(2) 695-706, 2022.10
Borges Herivelto, Fukasawa Satoru
Multiple Authorship (Including Foreigners)
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Algebraic curves admitting the same Galois closure for two projections, ANNALI DI MATEMATICA PURA ED APPLICATA, 201(5) 2055-2061, 2022.10
Fukasawa Satoru, Higashine Kazuki, Takahashi Takeshi
Multiple Authorship (Only Japanese)
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Automorphism group, Galois points and lines of the generalized Artin-Schreier-Mumford curve, GEOMETRIAE DEDICATA, 216(2) , 2022.04
Fukasawa Satoru
Single Author
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Algebraic curves with collinear Galois points, Nihonkai Mathematical Journal, 32(2) 71-78, 2021.12
Satoru Fukasawa
Single Author
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Galois lines for the Artin-Schreier-Mumford curve, FINITE FIELDS AND THEIR APPLICATIONS, 75 , 2021.10
Fukasawa Satoru
Single Author
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A birational embedding with two Galois points for quotient curves, JOURNAL OF PURE AND APPLIED ALGEBRA, 225(3) , 2021.03
Fukasawa Satoru, Higashine Kazuki
Multiple Authorship (Only Japanese)
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Examples of plane rational curves with two Galois points in positive characteristic, Finite Fields and their Applications: Proceedings of the 14th International Conference on Finite Fields and their Applications, Vancouver, June 3-7, 2019, 181-188, 2020.10
Satoru Fukasawa, Katsushi Waki
Multiple Authorship (Only Japanese)
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Galois points for double-Frobenius nonclassical curves, FINITE FIELDS AND THEIR APPLICATIONS, 61 , 2020.01
Borges Herivelto, Fukasawa Satoru
Multiple Authorship (Including Foreigners)
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QUASI-GALOIS POINTS, I: AUTOMORPHISM GROUPS OF PLANE CURVES, TOHOKU MATHEMATICAL JOURNAL, 71(4) 487-494, 2019.12
Fukasawa Satoru, Miura Kei, Takahashi Takeshi
Multiple Authorship (Only Japanese)
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Birational embeddings of the Hermitian, Suzuki and Ree curves with two Galois points, Finite Fields and Their Applications, 57 60-67, 2019.05
Satoru Fukasawa
Single Author
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Galois lines for the Giulietti-Korchmaros curve, Finite Fields and Their Applications, 57 268-275, 2019.05
Satoru Fukasawa, Kazuki Higashine
Multiple Authorship (Only Japanese)
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A birational embedding of an algebraic curve into a projective plane with two Galois points, Journal of Algebra, 511 95-101, 2018.10
Satoru Fukasawa
Single Author
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A birational embedding with two Galois points for certain Artin-Schreier curves, Finite Fields and Their Applications, 52 281-288, 2018.07
Satoru Fukasawa, Kazuki Higashine
Multiple Authorship (Only Japanese)
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A family of plane curves with two or more Galois points in positive characteristic, Contemporary Developments in Finite Fields and Applications, 62-73, 2016.08
Satoru Fukasawa
Single Author
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Rational points and Galois points for a plane curve over a finite field, Finite Fields and Their Applications, 39 36-42, 2016.05
Satoru Fukasawa
Single Author
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Galois points for a plane curve and its dual curve, II, Journal of Pure and Applied Algebra, 220 2038-2048, 2016.05
Satoru Fukasawa, Kei Miura
Multiple Authorship (Only Japanese)
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An upper bound for the number of Galois points for a plane curve, Contemporary Mathematics, 632 111-119, 2015.03
Satoru Fukasawa
Single Author
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Galois points for a plane curve and its dual curve, Rendiconti del Seminario Matematico della Universita di Padova, 132 61-74, 2014.12
Satoru Fukasawa, Kei Miura
Multiple Authorship (Only Japanese)
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Automorphism groups of smooth plane curves with many Galois points, Nihonkai Mathematical Journal, 25 69-75, 2014.06
Satoru Fukasawa
Single Author
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Galois points for a normal hypersurface, Transactions of the American Mathematical Society , 366(3) 1639-1658, 2014.03
Satoru Fukasawa, Takeshi Takahashi
Multiple Authorship (Only Japanese)
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Galois points for a plane curve in characteristic two, Journal of Pure and Applied Algebra, 218 343-353, 2014.02
Satoru Fukasawa
Single Author
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Galois points for a non-reflexive plane curve of low degree, Finite Fields and Their Applications, 23 69-79, 2013.09
Satoru Fukasawa
Single Author
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Complete determination of the number of Galois points for a smooth plane curve, Rendiconti del Seminario Matematico della Universita di Padova, 129 93-113, 2013.06
Satoru Fukasawa
Single Author
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Rational curves with many rational points over a finite field, Contemporary Mathematics, 574 37-48, 2012.08
Satoru Fukasawa, Masaaki Homma, Seon Jeong Kim
Multiple Authorship (Including Foreigners)
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Classification of plane curves with infinitely many Galois points, Journal of the Mathematical Society of Japan, 63(1) 195-209, 2011.01
Satoru Fukasawa
Single Author
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Projective varieties admitting an embedding with Gauss map of rank zero, Advances in Mathematics, 224 2645-2661, 2010.08
Satoru Fukasawa, Katsuhisa Furukawa, Hajime Kaji
Multiple Authorship (Only Japanese)
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On the number of Galois points for a plane curve in positive characteristic, III, Geometriae Dedicata, 146 9-20, 2010.06
Satoru Fukasawa
Single Author
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Any algebraic variety in positive characteristic admits a projective model with an inseparable Gauss map, Journal of Pure and Applied Algebra, 214 297-300, 2010.03
Satoru Fukasawa, Hajime Kaji
Multiple Authorship (Only Japanese)
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Singular plane curves with infinitely many Galois points, Journal of Algebra, 323 10-13, 2010.01
Satoru Fukasawa, Takehiro Hasegawa
Multiple Authorship (Only Japanese)
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Galois points for a plane curve in arbitrary characteristic, Geometriae Dedicata, 139 211-218, 2009.04
Satoru Fukasawa
Single Author
-
The reflexivity of a Segre product of projective varieties, Mathematische Annalen, 342 279-289, 2008.10
Satoru Fukasawa, Hajime Kaji
Multiple Authorship (Only Japanese)
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Existence of a non-reflexive embedding with birational Gauss map for a projective variety, Mathematische Nachrichten, 281 1412-1417, 2008.09
Satoru Fukasawa, Hajime Kaji
Multiple Authorship (Only Japanese)
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On the number of Galois points for a plane curve in positive characteristic, Communications in Algebra, 2008.01
Satoru Fukasawa
Single Author
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The separability of the Gauss map and the reflexivity for a projective surface, Mathematische Zeitschrift, 256 699-703, 2007.08
Satoru Fukasawa, Hajime Kaji
Multiple Authorship (Only Japanese)
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On the number of Galois points for a plane curve in positive characteristic, II, Geometriae Dedicata, 127 131-137, 2007.06
Satoru Fukasawa
Single Author
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A remark on Kleiman-Piene's question for Gauss maps, Communications in Algebra, 35 1201-1204, 2007.04
Satoru Fukasawa
Single Author
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Galois points on quartic curves in characteristic 3, Nihonkai Mathematical Journal, 17 103-110, 2006.12
Satoru Fukasawa
Single Author
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On Kleiman-Piene's question for Gauss maps, Compositio Mathematica, 142 1305-1307, 2006.09
Satoru Fukasawa
Single Author
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Varieties with nonconstant Gauss fibers, Hiroshima Mathematical Journal, 36 171-174, 2006.03
Satoru Fukasawa
Single Author
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Varieties with non-linear Gauss fibers, Mathematische Annalen, 334 235-239, 2006.02
Satoru Fukasawa
Single Author
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Developable varieties in positive characteristic, Hiroshima Mathematical Journal, 35 167-182, 2005.03
Satoru Fukasawa
Single Author
Grant-in-Aid for Scientific Research
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Grant-in-Aid for Scientific Research(C),2022.04 - 2026.03
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Grant-in-Aid for Scientific Research(C),2019.04 - 2023.03
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Grant-in-Aid for Scientific Research(C),2016.04 - 2019.03
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Grant-in-Aid for Young Scientists(B),2013.04 - 2016.03
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Grant-in-Aid for Young Scientists(B),2010.04 - 2013.03
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Grant-in-Aid for JSPS Fellows,2007.04 - 2010.03