Light dual multinets of order six in the projective plane
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DOI: 10.1007/s10474-019-00936-3
Abstract: Embedded multinets are line arrangements of the projective plane with a rich combinatorial structure. In this paper, we first classify all abstract light dual multinets of order 6 which have a unique line of length… read more here.
Keywords: dual multinets; projective plane; light dual; multinets order ... See more keywords
On partial geometries arising from maximal arcs
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DOI: 10.1007/s10801-020-00995-8
Abstract: The subject of this paper are partial geometries $$pg(s,t,\alpha )$$ p g ( s , t , α ) with parameters $$s=d(d'-1), \ t=d'(d-1), \ \alpha =(d-1)(d'-1)$$ s = d ( d ′ - 1… read more here.
Keywords: partial geometries; partial geometry; order; geometry ... See more keywords
Torus Action on Quaternionic Projective Plane and Related Spaces
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DOI: 10.1007/s40598-020-00166-4
Abstract: For an effective action of a compact torus T on a smooth compact manifold X with nonempty finite set of fixed points, the number $$\frac{1}{2}\dim X-\dim T$$ 1 2 dim X - dim T is… read more here.
Keywords: projective plane; torus action; action quaternionic; dim dim ... See more keywords
$$K_{-1}$$ and Higher $${\widetilde{K}}$$-Groups of Cones of Smooth Projective Plane Curves
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DOI: 10.1007/s40840-021-01175-y
Abstract: This is a contribution toward calculating the K-theory of a certain class of affine algebraic surfaces which is made possible due to works by Cortinas, Haesemeyer, Schlichting, Walker and Weibel. We discover that the negative… read more here.
Keywords: projective plane; smooth projective; higher widetilde; widetilde groups ... See more keywords
ALEXANDER POLYNOMIALS OF COMPLEX PROJECTIVE PLANE CURVES
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DOI: 10.1017/s0004972717001198
Abstract: We compute the Alexander polynomial of a nonreduced nonirreducible complex projective plane curve with mutually coprime orders of vanishing along its irreducible components in terms of certain multiplier ideals. read more here.
Keywords: projective plane; alexander polynomials; polynomials complex; plane curves ... See more keywords
Spectrum of projective plane curve arrangements with ordinary singularities
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DOI: 10.1080/00927872.2019.1584812
Abstract: Abstract The Hodge spectrum is an important analytic invariant of singularities encoding the Hodge filtration and the monodromy of the Milnor fiber. However, explicit formulas exist in only a few cases. In this article, the… read more here.
Keywords: projective plane; arrangements ordinary; curve arrangements; spectrum projective ... See more keywords