Jet schemes of toric surfaces (a short version)

2010/12/13 by Hussein Mourtada, Mourtada, Hussein
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1012.2808

openalex publication_date 2010/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For m∈ \IN, m≥ 1, we determine the irreducible components of the m-th jet scheme of a toric surface S. For m big enough, we connect the number of a class of these irreducible components to the number of exceptional divisors on the minimal resolution of S.

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