The set of toric minimal log discrepancies

• Autorzy: Florin Ambro
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Minimal log discrepancy; toric variety; 14B05; 14M25

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2006
• Tom: 4
• Numer: 3
• Strony: 358-370

Daty

wydano

2006-09-01

online

2006-09-01

Twórcy

autor

Florin Ambro

• Kyoto University

Bibliografia

• [1] V. Alexeev: “Two two-dimensional terminations”, Duke Math. J., Vol. 69(3), (1993), pp. 527–545. http://dx.doi.org/10.1215/S0012-7094-93-06922-0
• [2] F. Ambro: “On minimal log discrepancies”, Math. Res. Lett., Vol. 6(5–6), (1999), pp. 573–580.
• [3] A. Borisov: “Minimal discrepancies of toric singularities”, Manuscripta Math., Vol. 92(1), (1997), pp. 33–45.
• [4] A. Borisov: “On classification of toric singularities”, Algebraic geom., Vol. 9; J. Math. Sci. (New York), Vol. 94(1), (1999), pp. 1111–1113.
• [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.
• [7] T. Oda: Convex bodies and algebraic geometry. An introduction to the theory of toric varieties, Springer-Verlag, Berlin, 1988.
• [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.

Identyfikatory

DOI

10.2478/s11533-006-0013-x