We shall characterize the unique K3 surface of discriminant 3 or 4, called the most algebraic K3 surfaces by Vinberg, in terms of the fixed locus of an automorphism on it. Based on this result, we show that there is, up to isomorphisms, only one rational log Eriques surface of Type D-19 and one of Type A(19).
机构:
Inst Hautes Etud Sci, Bois Marie 35,Route Chartres, F-91440 Bures Sur Yvette, FranceInst Hautes Etud Sci, Bois Marie 35,Route Chartres, F-91440 Bures Sur Yvette, France