Behavior of the Torsion of the Differential Module of an Algebroid Curve under Quadratic Transformations

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We study the difference between the lengths of the torsion of the differential modules of the local ring R of an algebroid curve and its first quadratic transform. The conjecture is that this difference should be positive if R is not regular. This is shown to be true in some cases, especially for stable complete intersections and for semigroup rings which are complete intersections.
AMS-LaTeX, 13 pages

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Algebraic Geometry, Commutative Algebra, 13N05 (Primary) 13B10, 14F10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/76913

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9805044
 http://arxiv.org/abs/math/9805044

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arXiv