Counting Divisorial Contractions with Centre a cAn-singularity

Erik Paemurru (International Center for Mathematical Sciences – Sofia)

19-Apr-2022, 14:00-15:00 (23 months ago)

Abstract: First, we simplify the existing classification due to Kawakita and Yamamoto of 3-dimensional divisorial contractions with centre a cA_n-singularity. Next 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.

algebraic geometry

Audience: researchers in the topic


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