Asymptotic growth of the number of classes of real plane algebraic curves when the degree increases

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dc.creatorOrevkov, S. Yu.
dc.creatorKharlamov, V. M.
dc.date2000-02-25
dc.date2000-04-22
dc.date.accessioned2026-07-07T04:34:03Z
dc.date.available2026-07-07T04:34:03Z
dc.descriptionThe nonsingular real plane algebraic curves of given degree $d$ are considered either up to isotopy or up to deformation. The asymptotic behavior of the number $I_d$ of isotopy classes and the number $D_d$ of deformation classes are studied. It is shown, in particular, that $log I_d\asypt d^2$. Other related problems and their higher dimensional generalisations are discussed.
dc.description11 pages; a misprint in the table is corrected
dc.identifierhttps://arxiv.org/abs/math/0002213
dc.identifierhttp://arxiv.org/abs/math/0002213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58758
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14P25;05A16
dc.titleAsymptotic growth of the number of classes of real plane algebraic curves when the degree increases
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