On a rigidity criterion for del Pezzo fibrations over ${\mathbb P}^1$

dc.creatorGrinenko, Mikhail
dc.date1999-11-26
dc.date.accessioned2026-07-07T05:31:57Z
dc.date.available2026-07-07T05:31:57Z
dc.descriptionWe discuss the rigidity problem for Mori fibrations on del Pezzo surfaces of degree 1, 2 and 3 over ${\mathbb P}^1$ and formulate the following conjecture: such a del Pezzo fibration $V/{\mathbb P}^1$ is birationally rigid if and only if its quasi-effective and adjunction thresholds coincide. We prove the "only if" part of this conjecture.
dc.descriptionAmsLaTEX; 10 pages
dc.identifierhttps://arxiv.org/abs/math/9911210
dc.identifierhttp://arxiv.org/abs/math/9911210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79486
dc.subjectAlgebraic Geometry
dc.subject14E07; 14E05; 14E06
dc.titleOn a rigidity criterion for del Pezzo fibrations over ${\mathbb P}^1$
dc.typetext

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