Hurwitz' problem through double covers of curves and curves on surfaces
| Project/Area Number |
24540057
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kanagawa Institute of Technology |
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Principal Investigator |
KOMEDA Jiryo 神奈川工科大学, 基礎・教養教育センター, 教授 (90162065)
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| Co-Investigator(Renkei-kenkyūsha) |
OHBUCHI Akira 徳島大学大学院, ソシオアーツアンドサイエンス研究部, 教授 (10211111)
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| Research Collaborator |
HARUI Takeshi
WATANABE Kenta
KAWAGUCHI Ryo
TAKAHASHI Takeshi
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | ワイエルシュトラス半群 / 数値半群 / 代数曲線 / 二重被覆 / Ｋ３曲面 / 平面代数曲線 / 有理曲面 / K３曲面 / 平面４次曲線 / 平面５次曲線 / 平面曲線 / ２重被覆 / トーリック曲面 / アフィントーリック多様体 |
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| Outline of Final Research Achievements |
A research collaboration person and I studied on the Weierstrass semigroups of ramification points on double covers of plane curves of degree 4 and three papers about this subject were published or accepted for publication. Another research collaboration person and I investigated the Weierstrass semigroups of ramification points on double covers of plane curves which can be extended to double covers of projective planes, which may have singularities (if the double covers have no singularities, then they are K3 surfaces). We submitted the paper about this topic, and the paper was accepted.
The joint work with the overseas co-investigator was publised. The title is Weierstrass semigroups on double coverings of genus 4 curves. Moreover, the co-investigator and I got the result on the Weierstrass semigroups of ramification points of double covers of plane curves of degree 5 when the genera of the double covers are larger than 17. The paper about this result is being printed at present.
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Report
(4 results)
Research Products
(25 results)
