Arcs on Determinantal Varieties

Details Arcs on Determinantal Varieties Arcs on Determinantal Varieties

2010-11-08

arxiv.org/abs/1011.1930v2

Mathematics

Algebraic Geometry

27 pages. This is part of the author's PhD thesis at the University of Illinois at Chicago. v2: Minor changes. To appear in Tr

Scientific paper

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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