Counting divisorial contractions with centre a cA_n-singularity

2022/04/17 by Erik Paemurru, Paemurru, Erik · 2 citations
Mathematics · #Rings, Modules, and Algebras #Approximation Theory and Sequence Spaces #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2204.08045

Abstract

First, we simplify the existing classification due to Kawakita and Yamamoto of 3-dimensional divisorial contractions with centre a cA_n-singularity, also called compound A_n singularity. Next, we describe the global algebraic divisorial contractions corresponding to a given local analytic equivalence class of divisorial contractions with centre a point. Finally, we consider divisorial contractions of discrepancy at least 2 to a fixed variety with centre a cA_n-singularity. We show that if there exists one such divisorial contraction, then there exist uncountably many such divisorial contractions.

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