Gotzmann's persistence theorem for finite modules

Gustav Sædén Ståhl

doi:10.1016/j.jalgebra.2017.01.013

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arXiv · 1411.7940

Gotzmann's persistence theorem for finite modules

Gustav Sædén Ståhl

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Abstract

We prove a generalization of Gotzmann's persistence theorem in the case of modules with constant Hilbert polynomial. As a consequence, we show that the defining equations that give the embedding of a Quot scheme of points into a Grassmannian are given by a single Fitting ideal.

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Gustav Sædén Ståhl. 2015-04-06. Gotzmann's persistence theorem for finite modules. https://doi.org/10.1016/j.jalgebra.2017.01.013

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