| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
Galois points for projective hypersurfaces were studied as a object for considering the internal structure of algebraic function fields. We want a new theory that is an extension of the Galois point theory, and study "quasi-Galois points of hypersurfaces" and "weak Galois-Weierstrass points of algebraic curves" as objects of consideration.
By a joint research with Kei Miura and Satoru Fukasawa, we study the numbers and distributions of quasi-Galois points on nonsingular plane algebraic curves. In particular, we simplified the proofs obtained before and made the results better.
By a joint research with Jiryo Komeda, we determined the numbers and distributions of weak Galois-Weierstrass points of complete algebraic curves under the condition that the semigroup of the target points is generated by two integers.
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