Constructing new K3 surfaces

Altınok Bhupal S.

Turkish Journal of Mathematics, cilt.29, sa.2, ss.175-192, 2005 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 2
  • Basım Tarihi: 2005
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.175-192
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.