Fano 3-folds, K3 surfaces and graded rings

  title={Fano 3-folds, K3 surfaces and graded rings},
  author={S. Altınok and Gavin Brown and M. Reid},
  journal={arXiv: Algebraic Geometry},
  • S. Altınok, Gavin Brown, M. Reid
  • Published 2002
  • Mathematics
  • arXiv: Algebraic Geometry
  • Explicit birational geometry of 3-folds represents a second phase of Mori theory, going beyond the foundational work of the 1980s. This paper is a tutorial and colloquial introduction to the explicit classification of Fano 3-folds (Q-Fano 3-folds), a subject that we hope is nearing completion. With the intention of remaining accessible to beginners in algebraic geometry, we include examples of elementary calculations of graded rings over curves and K3 surfaces. For us, K3 surfaces have at worst… CONTINUE READING
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