On the classification of toric Fano 4-folds

@article{Batyrev1998OnTC,
  title={On the classification of toric Fano 4-folds},
  author={Victor V. Batyrev},
  journal={Journal of Mathematical Sciences},
  year={1998},
  volume={94},
  pages={1021-1050}
}
  • V. Batyrev
  • Published 22 January 1998
  • Mathematics
  • Journal of Mathematical Sciences
AbstractThe biregular classification of smoothd-dimensional toric Fano varieties is equivalent to the classification of special simplicial polyhedraP in ℝd, the so-called Fano polyhedra, up to an isomorphism of the standard lattice % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr… Expand
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TLDR
Toric Fano varieties are algebraic varieties associated with a special class of convex polytopes in R′' using a purely combinatorial method of proof. Expand
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