Arcs on determinantal varieties

Docampo, Roi

doi:10.1090/S0002-9947-2012-05564-4

Arcs on determinantal varieties
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by Roi Docampo PDF

Trans. Amer. Math. Soc. 365 (2013), 2241-2269 Request permission

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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