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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We construct some infinite series of free and nearly free curves using pencils of conics with a base locus of cardinality at most two. These curves have an interesting topology, e.g. a high degree Alexander polynomial that can be explicitly determined, a Milnor fiber homotopy equivalent to a bouquet of circles, or an irreducible translated component in the characteristic variety of their complement. Monodromy eigenspaces in the first cohomology group of the corresponding Milnor fibers are also described in terms of explicit differential forms.
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참고문헌 (31)
참고문헌 신청
M. Amram / 2007 / Fundamental groups of tangent conic-line arrangements with singularities up to order 6 / Math. Z. 256(4):837~870
E. Artal Bartolo / 2015 / On fundamental groups of plane curve complements / Ann. Univ. Ferrara Sez. VII Sci. Mat. 61(2):255~262
S. Bannai / 2015 / Geometry of bisections of elliptic surfaces and Zariski N-plets for conic arrangements / Geom. Dedicata 178:219~237
N. Budur / 2010 / Jumping coefficients and spectrum of a hyperplane arrangement / Math. Ann. 347(3):545~579
A. Dimca / 1992 / Singularities and Topology of Hypersurfaces, Universitext / Springer-Verlag
E. Artal Bartolo / 2015 / On fundamental groups of plane curve complements / Ann. Univ. Ferrara Sez. VII Sci. Mat. 61(2):255~262
S. Bannai / 2015 / Geometry of bisections of elliptic surfaces and Zariski N-plets for conic arrangements / Geom. Dedicata 178:219~237
N. Budur / 2010 / Jumping coefficients and spectrum of a hyperplane arrangement / Math. Ann. 347(3):545~579
A. Dimca / 1992 / Singularities and Topology of Hypersurfaces, Universitext / Springer-Verlag
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