Some calculations on type II_1 unprojection

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dc.creatorPapadakis, Stavros Argyrios
dc.date2007-08-06
dc.date.accessioned2026-07-07T08:22:18Z
dc.date.available2026-07-07T08:22:18Z
dc.descriptionThe type II_1 unprojection is, by definition, the generic complete intersection type II unprojection, in the sense of [Papadakis, Type II unprojection, J. Algebraic Geometry, 15 (2006) 399--414] Section 3.1, for the parameter value k = 1, and depends on a parameter n greater or equal than 2. Our main results are the explicit calculation of the linear relations of the type II_1 unprojection for any value of n greater or equal than 2 (Theorem 3.16) and the explicit calculation of the quadratic equation for the case n = 3 (Theorem 4.1). In addition, Section 5 contains applications to algebraic geometry while Section 6 contains the Macaulay 2 code for the type II_1 unprojection for the parameter value n = 3.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0708.0727
dc.identifierhttp://arxiv.org/abs/0708.0727
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135612
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleSome calculations on type II_1 unprojection
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