On rationality of nonsingular threefolds with a pencil of Del Pezzo surfaces of degree 4

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dc.creatorShramov, Constantin
dc.date2007-01-18
dc.date.accessioned2026-07-07T07:41:43Z
dc.date.available2026-07-07T07:41:43Z
dc.descriptionWe prove a criterion of nonsingularity of a complete intersection of two fiberwise quadrics in a scroll over $P^1$. As a corollary we derive the following addition to the Alexeev theorem on rationality of standard Del Pezzo fibrations of degree 4 over $P^1$: we prove that any fibration of this kind with the topological Euler characteristic -4 is rational.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0701521
dc.identifierhttp://arxiv.org/abs/math/0701521
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122219
dc.subjectAlgebraic Geometry
dc.subject14E08; 14E05
dc.titleOn rationality of nonsingular threefolds with a pencil of Del Pezzo surfaces of degree 4
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