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Log del Pezzo surfaces with not small fractional indices
Authors:Kento Fujita
Affiliation:Department of Mathematics, Kyoto University, Kyoto, Japan
Abstract:For a log del Pezzo surface S, the fractional index urn:x-wiley:0025584X:media:mana201400254:mana201400254-math-0001 is the maximum of r with which urn:x-wiley:0025584X:media:mana201400254:mana201400254-math-0002 can be written as r times some Cartier divisor. We classify all the log del Pezzo surfaces S with urn:x-wiley:0025584X:media:mana201400254:mana201400254-math-0003, after the technique of Nakayama.
Keywords:Del Pezzo surface  rational surface  extremal ray  14E30  14J26
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