Work

Counting Divisorial Contractions with Centre a $cA_{n}$-Singularity

Year: 2024

Type: article

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 a 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.

Source: Publications of the Research Institute for Mathematical Sciences

DOI: 10.4171/prims/60-4-2

Author: Erik Paemurru

Institutions: University of Miami, Saarland University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4404143017

FWCI: 1.4

Cites:

Cited by: 2

Related to: 10