On the Thom-Boardman Symbols for Polynomial Multiplication Maps

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dc.creatorLin, Jiayuan
dc.creatorWethington, Janice
dc.date2009-02-09
dc.date.accessioned2026-07-07T12:39:32Z
dc.date.available2026-07-07T12:39:32Z
dc.descriptionThe Thom-Boardman symbol was first introduced by Thom in 1956 to classify singularities of differentiable maps. It was later generalized by Boardman to a more general setting. Although the Thom-Boardman symbol is realized by a sequence of non-increasing, nonnegative integers, to compute those numbers is, in general, extremely difficult. In the case of polynomial multiplication maps, Robert Varley conjectured that computing the Thom-Boardman symbol for polynomial multiplication reduces to computing the successive quotients and remainders for the Euclidean algorithm applied to the degrees of the two polynomials. In this paper, we confirm this conjecture.
dc.descriptionFirst draft, comments are welcome
dc.identifierhttps://arxiv.org/abs/0902.1518
dc.identifierhttp://arxiv.org/abs/0902.1518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219141
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject58K40; 58K20; 32S10
dc.titleOn the Thom-Boardman Symbols for Polynomial Multiplication Maps
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