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.
机构:
Univ Genoa, Dipartimento Matemat, Dipartimento Eccellenza 2023 2027, Via Dodecaneso 35, I-16146 Genoa, ItalyUniv Genoa, Dipartimento Matemat, Dipartimento Eccellenza 2023 2027, Via Dodecaneso 35, I-16146 Genoa, Italy
Caminata, Alessio
Moon, Han-Bom
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机构:
Fordham Univ, Dept Math, New York, NY 10023 USAUniv Genoa, Dipartimento Matemat, Dipartimento Eccellenza 2023 2027, Via Dodecaneso 35, I-16146 Genoa, Italy