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arxiv: math/0210455 · v1 · submitted 2002-10-30 · 🧮 math.AC · math.AG

Projective schemes: What is Computable in low degree?

classification 🧮 math.AC math.AG
keywords algorithmsarticlecastelnuovo-mumfordcomputablecomputationaldefiningdegreedifferent
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This article first presents two examples of algorithms that extracts information on scheme out of its defining equations. We also give a review on the notion of Castelnuovo-Mumford regularity, its main properties (in particular its relation to computational issues) and different ways that were used to estimate it.

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