Arcs on determinantal varieties
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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.References
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Additional Information
- Roi Docampo
- Affiliation: Department of Mathematics, University of Utah, 155 S 1400 E, Room 233, Salt Lake City, Utah 84112
- Email: docampo@math.utah.edu
- Received by editor(s): June 22, 2010
- Received by editor(s) in revised form: February 7, 2011
- Published electronically: September 18, 2012
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 2241-2269
- MSC (2010): Primary 14E18
- DOI: https://doi.org/10.1090/S0002-9947-2012-05564-4
- MathSciNet review: 3020097