On the Intersection of Two Plane Curves

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dc.creatorChen, Xi
dc.date2000-03-10
dc.date2000-09-15
dc.date.accessioned2026-07-07T04:34:16Z
dc.date.available2026-07-07T04:34:16Z
dc.descriptionWe study the following question: fix a sufficient general curve D of degree d in P^2, what is the least number of intersections between D and an irreducible curve of degree m? G. Xu proved this number i(d, m) is at least d - 2 for all m. This problem can be regarded as the algebraic part of Kobayashi conjecture on the hyperbolicity of P^2 D. We first improved Xu's bound with m fixed and then generalized his result to rational ruled surfaces.
dc.description13 pages in AMS-LATEX. To appear on MRL
dc.identifierhttps://arxiv.org/abs/math/0003063
dc.identifierhttp://arxiv.org/abs/math/0003063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58837
dc.subjectAlgebraic Geometry
dc.subject14H10; 32Q45
dc.titleOn the Intersection of Two Plane Curves
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