label: url

en: On effective divisors on certain double covers and their linearly equivalent classes

en: Let B ⊂ P2 be a plane curve with even degree on the complex projective plane P2, and let Φ : X → P2 be the double cover branched along B. In this paper, we compute ideals of certain divisors on X for certain smooth curves B of degree ≤ 4 without using rationality of X.

en: Journal of Mathematics, The University of Tokushima


en: Double covers and vector bundles of rank two

en: Manuscripta Mathematica

ja: Manuscripta Mathematica


en: Torsion divisors of plane curves with maximal flexes and Zariski pairs

en: Mathematische Nachrichten

ja: Mathematische Nachrichten


en: On effective divisors on certain double covers and their linealy equivalent classes

ja: Let B ⊂ P2 be a plane curve with even degree on the complex projective plane P2, and let Φ : X → P2 be the double cover branched along B. In this paper, we compute ideals of certain divisors on X for certain smooth curves B of degree ≤ 4 without using rationality of X.

ja: Journal of Mathematics, The University of Tokushima


en: Torsion divisors of plane curves and Zariski pairs

en: Algebra i Analiz

ja: Algebra i Analiz


en: Nodal curves with a contact-conic and Zariski pairs

en: Advances in Geometry

ja: Advances in Geometry


en: Galois covers of graphs and embedded topology of plane curves

en: Topology and its Applications

ja: Topology and its Applications


en: Connected numbers and the embedded topology of plane curves

en: Canadian Mathematical Bulletin

ja: Canadian Mathematical Bulletin


en: Non-homotopicty of the linking set of algebraic plane curves

en: <jats:p> The linking set is an invariant of algebraic plane curves introduced by Meilhan and the first author. It has been successfully used to detect several examples of Zariski pairs, i.e. curves with the same combinatorics and different embedding in [Formula: see text]. Differentiating Shimada's [Formula: see text]-equivalent Zariski pair by the linking set, we prove, in the present paper, that this invariant is not determined by the fundamental group of the curve. </jats:p>

en: Journal of Knot Theory and Its Ramifications


en: On the topology of arrangements of a cubic and its inflectional tangents

en: Proceedings of the Japan Academy. Series A, Mathematical Sciences


en: A note on splitting numbers for Galois covers and ϖ_1-equivalent Zariski k-plets

en: In this paper, we introduce splitting numbers of subvarieties in a smooth complex variety for a Galois cover, and prove that the splitting numbers are invariant under certain homeomorphisms. In particular cases, we show that splitting numbers enable us to distinguish the topology of complex plane curves even if the fundamental groups of the complements of plane curves are isomorphic. Consequently, we prove that there are ϖ1-equivalent Zariski k-plets for any integer k ≥ 2.

en: Proceedings of the American Mathematical Society


en: A note on normal triple covers over P^2 with branch divisors of degree 6

en: Kodai Mathematical Journal

ja: Kodai Mathematical Journal


en: Galois closure covers for 5-fold covers between smooth surfaces and its application

en: Kyushu Journal of Mathematics

ja: Kyushu Journal of Mathematics


en: Corrigendum to "Families of Galois closure curves for palne quintic curves" [J. Algebra 342 (1) (2011) 175-196]

en: Journal of Algebra

ja: Journal of Algebra


en: Families of Galois closure curves for plane quintic curves


en: On 4-fold covers of algebraic surfaces

ja: On 4-fold covers of algebraic surfaces