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dc.contributor.authorThuong, L.Q.
dc.contributor.authorTai, P.D.
dc.contributor.authorHoang Lan, N.P.
dc.date.accessioned2017-01-10T15:32:02Z
dc.date.available2017-01-10T15:32:02Z
dc.date.issued2017-12-10
dc.identifier.urihttp://hdl.handle.net/20.500.11824/350
dc.description.abstractThe Alexander polynomial of a plane curve is an important invariant in global theories on curves. However, it seems that this invariant and even a much stronger one the fundamental group of the complement of a plane curve may not distinguish non-reduced curves. In this article, we consider a general problem which concerns a hypersurface of the complex projective space $\mathbb P^n$ defined by an arbitrary homogeneous polynomial $f$. The singularity of $f$ at the origin of $\mathbb C^{n+1}$ is studied, by means of the characteristic polynomials $\Delta_l(t)$ of the monodromy, and via the relation between the monodromy zeta function and the Hodge spectrum. Especially, we go further with $\Delta_1(t)$ in the case $n=2$ and aim to regard it as an alternative object of the Alexander polynomial for $f$ non-reduced. This work is based on knowledge of multiplier ideals and local systems.
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleHomogeneous singularity and the Alexander polynomial of a projective plane curveen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.arxiv1611.00186
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/615655en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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