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The Castelnuovo-Mumford regularity of an integral variety of a vector field on projective space | | Eduardo Esteves
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2 Nov 2000 | | Subject: | Algebraic Geometry; Dynamical Systems | math.AG math.DS | | Affiliation: | IMPA | | Abstract: | The Castelnuovo-Mumford regularity r of a complex, projective variety V is an upper bound for the degrees of the hypersurfaces necessary to cut out V. In this note we give a bound for r when V is left invariant by a vector field on the ambient projective space. More precisely, assume V is arithmetically Cohen-Macaulay, for instance, a complete intersection. Assume as well that V projects to a normal-crossings hypersurface, which is the case when V is a curve with at most ordinary nodes. Then we show that r | | Source: | arXiv, math.AG/0011018 | | Services: | Forum | Review | PDF | Favorites | |
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