Constructing new K3 surfaces

Altınok Bhupal S.

Turkish Journal of Mathematics, vol.29, no.2, pp.175-192, 2005 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 29 Issue: 2
  • Publication Date: 2005
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: TR DİZİN (ULAKBİM)
  • Page Numbers: pp.175-192


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.