13 citations · 22 across the 11 of their papers we have counts for
15 papers
Zariski pairs of conic-line arrangements with a unique conic
Shinzo Bannai, Benoît Guerville-Ballé, Taketo Shirane
In this note, we present two pairs of conic-line arrangements admitting a unique conic and that form Zariski pairs, both of degree . Their topologies are distinguished using the…
A note on combinatorial type and splitting invariants of plane curves
Taketo Shirane
Splitting invariants describe how a plane curve "splits" by the pull-back under a Galois cover over the projective plane whose branch locus contains no component of the plane curve…
Poncelet's closure theorem and the embedded topology of conic-line arrangements
Shinzo Bannai, Ryosuke Masuya, Taketo Shirane +2
In this paper, we consider conic-line arrangements that arise from Poncelet's closure theorem. We study unramified double covers of the union of two conics, that are induced by a $…
The realization space of a certain conic line arrangement of degree 7 and a -equivalent Zariski pair
Meirav Amram, Shinzo Bannai, Taketo Shirane +2
In this paper, we continue the study of the embedded topology of plane algebraic curves. We study the realization space of conic line arrangements of degree with certain fixed…
Divisor class groups of double covers over projective spaces
Taketo Shirane
In this paper, we prove that the divisor class group of a double cover of the complex projective space is generated by divisorial sheaves whose direct images split i…
Double covers and vector bundles of rank two
Taketo Shirane
In 2017, Catanese--Perroni gave a natural correspondence between the Picard group of a double cover and a set of pairs of a vector bundle of rank two and a certain morphism of vect…