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Spectrum of projective plane curve arrangements with ordinary singularities

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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… Click to show full 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 main result is a combinatorial formula for the Hodge spectrum of any homogeneous polynomials in three variables whose zero locus is a projective curve arrangement having only ordinary multiple points.

Keywords: projective plane; arrangements ordinary; curve arrangements; spectrum projective; plane curve; curve

Journal Title: Communications in Algebra
Year Published: 2019

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