Corpus ID: 18440749

Toric Fano 3-folds with terminal singularities

@article{Kasprzyk2003ToricF3,
  title={Toric Fano 3-folds with terminal singularities},
  author={A. Kasprzyk},
  journal={arXiv: Algebraic Geometry},
  year={2003}
}
  • A. Kasprzyk
  • Published 2003
  • Mathematics
  • arXiv: Algebraic Geometry
This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3,Z), all convex polytopes in Z^3 which contain the origin as the only non-vertex lattice point. 
13 Citations

Tables from this paper

Gorenstein toric Fano varieties
  • 79
  • PDF
Small toric degenerations of Fano threefolds
  • 6
  • PDF
Combinatorial descriptions of toric extremal Contractions
  • H. Sato
  • Mathematics
  • Nagoya Mathematical Journal
  • 2005
  • 9
  • PDF
Minimal volume K-point lattice D-simplices
  • 6
  • PDF
Lattice 3-Polytopes with Six Lattice Points
  • 12
  • PDF
The covering radius and a discrete surface area for non-hollow simplices
  • 2
  • Highly Influenced
  • PDF
Clean Lattice Tetrahedra
  • 16
  • Highly Influenced
  • PDF
Lattice 3-Polytopes with Few Lattice Points
  • 17
  • PDF
...
1
2
...

References

SHOWING 1-10 OF 24 REFERENCES
RESOLVING 3-DIMENSIONAL TORIC SINGULARITIES by
  • 18
  • PDF
SINGULAR TORIC FANO VARIETIES
  • 34
  • Highly Influential
Threefolds whose canonical bundles are not numerically effective.
  • S. Mori
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1980
  • 390
  • PDF
Convex lattice polytopes and cones with few lattice points inside
  • 14
  • PDF
INTRODUCTION TO THE TORIC MORI THEORY
  • 43
  • PDF
THE GEOMETRY OF TORIC VARIETIES
  • 912
  • PDF
Canonical quotient singularities in dimension three
  • 17
  • PDF
Introduction to toric varieties
  • 1,002
  • PDF
...
1
2
3
...