• DOI:10.1090/conm/314/05420
Corpus ID: 119173955

Fano 3-folds, K3 surfaces and graded rings

@article{Altnok2002Fano3K,
  title={Fano 3-folds, K3 surfaces and graded rings},
  author={S. Altınok and Gavin Brown and M. Reid},
  journal={arXiv: Algebraic Geometry},
  year={2002}
}

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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