Constructing New K3 Surfaces
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.
Anahtar Kelimeler:
Turk. J. Math., 29, (2005), 175-192. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.2.
Constructing New K3 Surfaces
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. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.2.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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