Remarks on Type III Unprojection

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Type III unprojection plays a very important role in the birational geometry of Fano threefolds. It was first introduced by A. Corti on his calculations of Fano threefolds of genus 6 and 7. It seems that at present a general definition of the type III unprojection is still missing. After proving some general facts about residual ideals, we propose a definition for the generic Type III unprojection, and prove that it gives a Gorenstein ring.
11 pages, to appear in Communications in Algebra

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Algebraic Geometry, Commutative Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/74018

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501535
 http://arxiv.org/abs/math/0501535

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arXiv