Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Shinzo BANNAI"'
Autor:
Shinzo BANNAI1, Hiro-o TOKUNAGA2
Publikováno v:
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Feb2020, Vol. 96 Issue 2, p18-21. 4p.
Autor:
Hiro-o Tokunaga, Shinzo Bannai
Publikováno v:
Journal of Number Theory. 221:174-189
Let φ : S → C be an elliptic surface over a smooth curve C with a section O. We denote its generic fiber by E S which can be considered as an elliptic curve over C ( C ) . For a divisor D on S, not contained in fibers of φ, we canonically associa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fee0319c54e39ff873e523e1768af048
https://doi.org/10.1016/j.jnt.2020.06.005
https://doi.org/10.1016/j.jnt.2020.06.005
Autor:
Momoko Ohno, Shinzo Bannai
Publikováno v:
Canadian Mathematical Bulletin. 63:802-812
In this paper, we study how to distinguish the embedded topology of a smooth quartic and its bitangent lines. In order to do this, we introduce the concept of two-graphs and switching classes from graph theory. This new method improves previous resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5ac1ecd6482957a3331fc103ad33c03
https://doi.org/10.4153/s0008439520000053
https://doi.org/10.4153/s0008439520000053
Autor:
Shinzo Bannai, Taketo Shirane
Publikováno v:
Advances in Geometry. 19:555-572
In this present paper, we study the splitting of nodal plane curves with respect to contact conics. We define the notion of splitting type of such curves and show that it can be used as an invariant to distinguish the embedded topology of plane curve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0de0f0476284c4b25ee062138af12d4e
https://doi.org/10.1515/advgeom-2018-0032
https://doi.org/10.1515/advgeom-2018-0032
There is a close relationship between the embedded topology of complex plane curves and the (group-theoretic) arithmetic of elliptic curves. In a recent paper, we studied the topology of some arrangements of curves which include a special smooth comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d369391aac506bf215c02c9929a2615
http://arxiv.org/abs/2005.12673
http://arxiv.org/abs/2005.12673
Publikováno v:
Hokkaido Math. J. 49, no. 1 (2020), 87-108
In this paper, we continue the study of the relation between rational points of rational elliptic surfaces and the topology of plane curves. As an application, we give first examples of Zariski pairs of cubic-line arrangements that do not involve inf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8686c64ed2582740bc7462df25d8e745
https://projecteuclid.org/euclid.hokmj/1591085013
https://projecteuclid.org/euclid.hokmj/1591085013
Autor:
Hiro-o Tokunaga, Shinzo Bannai
Publikováno v:
Proc. Japan Acad. Ser. A Math. Sci. 96, no. 2 (2020), 18-21
In this paper, we study the geometry of two-torsion points of elliptic curves in order to distinguish the embedded topology of reducible plane curves consisting of a smooth cubic and its tangent lines. As a result, we obtain a new family of Zariski t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d5f4aeb85ebde7817c766047aa341ef
https://doi.org/10.3792/pjaa.96.004
https://doi.org/10.3792/pjaa.96.004
Publikováno v:
Hiroshima Math. J. 49, no. 2 (2019), 289-302
In this paper, we give a Zariski triple of the arrangements for a smooth quartic and its four bitangents. A key criterion to distinguish the topology of such curves is given by a matrix related to the height pairing of rational points arising from th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5556ea19d7cbe9b7ae1e876e0bfb6c4
https://doi.org/10.32917/hmj/1564106549
https://doi.org/10.32917/hmj/1564106549
Autor:
Shinzo Bannai
Publikováno v:
Topology and its Applications. 202:428-439
In this note, we study the relation between splitting curves of plane quartics and multi-sections of rational elliptic surfaces associated to the quartics. We give a criterion for when a simple contact curve splits and calculate the images of the com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14601d5fbb5f59471eaf7a0fc2abf9d3
https://doi.org/10.1016/j.topol.2016.02.005
https://doi.org/10.1016/j.topol.2016.02.005
Autor:
Shinzo Bannai, Hiro-o Tokunaga
Publikováno v:
Geometriae Dedicata. 178:219-237
In this article, we study the geometry of bisections of certain rational elliptic surfaces. As an application, we give examples of Zariski $$N$$ -plets for conic arrangements, which generalize Namba-Tsuchihashi’s result.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ddd91fa52223cc8592d64fb866bf0e3
https://doi.org/10.1007/s10711-015-0054-z
https://doi.org/10.1007/s10711-015-0054-z