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arXiv · 1805.05599

Resolution of the symmetric algebra of a finite base locus

Rémi Bignalet-Cazalet
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Abstract

We provide a locally free resolution of the projectivized symmetric algebra of the ideal sheaf of a zero-dimensional scheme defined by n + 1 equations in an n-dimensional variety. The resolution is given in terms of the resolution of the ideal itself and of the Eagon-Northcott complex of the Koszul hull.

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Rémi Bignalet-Cazalet. 2018-05-15. Resolution of the symmetric algebra of a finite base locus. https://arxiv.org/abs/1805.05599

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