# The set of toric minimal log discrepancies

Open Mathematics (2006)

- Volume: 4, Issue: 3, page 358-370
- ISSN: 2391-5455

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topFlorin Ambro. "The set of toric minimal log discrepancies." Open Mathematics 4.3 (2006): 358-370. <http://eudml.org/doc/269461>.

@article{FlorinAmbro2006,

abstract = {We describe the set of minimal log discrepancies of toric log varieties, and study its accumulation points.},

author = {Florin Ambro},

journal = {Open Mathematics},

keywords = {14B05; 14M25},

language = {eng},

number = {3},

pages = {358-370},

title = {The set of toric minimal log discrepancies},

url = {http://eudml.org/doc/269461},

volume = {4},

year = {2006},

}

TY - JOUR

AU - Florin Ambro

TI - The set of toric minimal log discrepancies

JO - Open Mathematics

PY - 2006

VL - 4

IS - 3

SP - 358

EP - 370

AB - We describe the set of minimal log discrepancies of toric log varieties, and study its accumulation points.

LA - eng

KW - 14B05; 14M25

UR - http://eudml.org/doc/269461

ER -

## References

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- [2] F. Ambro: “On minimal log discrepancies”, Math. Res. Lett., Vol. 6(5–6), (1999), pp. 573–580. Zbl0974.14007
- [3] A. Borisov: “Minimal discrepancies of toric singularities”, Manuscripta Math., Vol. 92(1), (1997), pp. 33–45. Zbl0873.14003
- [4] A. Borisov: “On classification of toric singularities”, Algebraic geom., Vol. 9; J. Math. Sci. (New York), Vol. 94(1), (1999), pp. 1111–1113. Zbl0934.14035
- [5] J.W.S. Cassels: An introduction to Diophantine approximation, Cambridge Tracts in Mathematics and Mathematical Physics, Vol. 45, Cambridge University Press, New York, 1957.
- [6] J. Lawrence: Finite unions of closed subgroups of the n-dimensional torus, Applied geometry and discrete mathematics, 433–441, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 4, Amer. Math. Soc., Providence, RI, 1991. Zbl0738.52016
- [7] T. Oda: Convex bodies and algebraic geometry. An introduction to the theory of toric varieties, Springer-Verlag, Berlin, 1988. Zbl0628.52002
- [8] V.V. Shokurov: Problems about Fano varieties, Birational Geometry of Algebraic Varieties, Open Problems-Katata, 1988, pp. 30–32.
- [9] V.V. Shokurov: A.c.c. in codimension 2, preprint 1993.
- [10] V.V. Shokurov: “Letters of a bi-rationalist. V. Minimal log discrepancies and termination of log flips”, Tr. Mat. Inst. Steklova (Russian), Vol. 246 (2004); Algebr. Geom. Metody, Svyazi i Prilozh., pp. 328-351; translation in: Proc. Steklov Inst. Math., Vol. 3(246), 2004, pp. 315–336. Zbl1107.14012

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