Smoothable del Pezzo surfaces with quotient singularities

Publisher： Cambridge University Press

E-ISSN： 1570-5846|146|1|169-192

ISSN： 0010-437x

Source： Compositio Mathematica, Vol.146, Iss.1, 2010-01, pp. : 169-192

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Abstract

We classify del Pezzo surfaces with quotient singularities and Picard rank one which admit a -Gorenstein smoothing. These surfaces arise as singular fibres of del Pezzo fibrations in the 3-fold minimal model program and also in moduli problems.

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