Constructing New K3 Surfaces

Authors : Selma ALTINOK

Pages : 175-192

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This paper is concerned with a method based on birational geometry and produces dozens of new examples in codimensions 3, 4, 5 etc. The method is called unprojection by Reid. Using this method we construct new examples of K3 surfaces of codimensions 3 and 4 in weighted projective spaces from smaller codimension K3 surfaces whose rings are much simpler. This leads to the existence of almost all candidates for codimension 3 K3 surfaces in the list.
Keywords : Turk J Math, 29, 2005, , 175 192 Turk J Math, vol 29, iss 2