Linear estimate for the number of zeros of Abelian integrals

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dc.creatorMalev, S. G.
dc.creatorNovikov, D.
dc.date2009-03-29
dc.date.accessioned2026-07-07T12:57:44Z
dc.date.available2026-07-07T12:57:44Z
dc.descriptionWe prove a linear in $\degω$ upper bound on the number of real zeros of the Abelian integral $I(t)=\int_{δ(t)}ω$, where $δ(t)\subset\R^2$ is the real oval $x^2y(1-x-y)=t$ and $ω$ is a one-form with polynomial coefficients.
dc.identifierhttps://arxiv.org/abs/0903.5056
dc.identifierhttp://arxiv.org/abs/0903.5056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225034
dc.subjectDifferential Geometry
dc.titleLinear estimate for the number of zeros of Abelian integrals
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