On the canonicity of the singularities of quotients of the Fulton-MacPherson compactification

Author:

Kriz Sophie

Abstract

We prove that quotients of the Fulton-MacPherson compactification of configuration spaces of smooth projective varieties of dimension > 1 >1 by permutation groups have canonical singularities.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Reference6 articles.

1. A compactification of configuration spaces;Fulton, William;Ann. of Math. (2),1994

2. Terminal quotient singularities in dimensions three and four;Morrison, David R.;Proc. Amer. Math. Soc.,1984

3. Singularities of pairs;Kollár, János,1997

4. Cambridge Tracts in Mathematics;Kollár, János,1998

5. Young person’s guide to canonical singularities;Reid, Miles,1987

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