Elementary modifications and line configurations in P^2

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dc.creatorSchenck, Henry K.
dc.date2003-07-02
dc.date.accessioned2026-07-07T04:59:22Z
dc.date.available2026-07-07T04:59:22Z
dc.descriptionAssociated to an arrangement of projective hyperplanes A is the module D(A), which consists of derivations tangent to A. We study D(A) when A is a configuration of lines in the projective plane. In this setting, we relate the deletion/restriction construction used in the study of hyperplane arrangements to elementary modifications of bundles. This allows us to obtain bounds on the Castelnuovo-Mumford regularity of D(A). We also give simple combinatorial conditions for the associated bundle to be stable, and describe its jump lines. These regularity bounds and stability considerations impose constraints on Terao's conjecture.
dc.description16 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0307035
dc.identifierhttp://arxiv.org/abs/math/0307035
dc.identifierComment. Math. Helv. 78 (2003) 447-462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67957
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectPrimary 14N20, Secondary 14J60,52C30,14F05
dc.titleElementary modifications and line configurations in P^2
dc.typetext

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