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arXiv · 1011.1930

Arcs on Determinantal Varieties

Roi Docampo
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Abstract

We study arc spaces and jet schemes of generic determinantal varieties. Using the natural group action, we decompose the arc spaces into orbits, and analyze their structure. This allows us to compute the number of irreducible components of jet schemes, log canonical thresholds, and topological zeta functions.

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Roi Docampo. 2010-11-08. Arcs on Determinantal Varieties. https://doi.org/10.1090/s0002-9947-2012-05564-4

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