+ k 1 = r donde segue que j , = r ? 1. Logo 3 = k r?1 = [k r?2 + k 1 ], e portanto k r?2 + k 1 = r + 3 = k 1 + 6, donde temos k r?2 = 6, Com isso temos que (w 4 , w 5 ) ? [w 3 ,
Système générateur minimal, diviseurs essentiels et G-désingularisations, Tohoku Math, J, vol.47, pp.125-149, 1995. ,
DOI : 10.2748/tmj/1178225640
URL : http://projecteuclid.org/download/pdf_1/euclid.tmj/1178225640
Explicit birational geometry of 3-folds, Soc. Lecture Notes Series, vol.281, 2000. ,
Decomposition of certain birational morphisms, Izv. Akad, Nauk SSSR Ser. Mat. Tom English transl., Math. USSS- IZV, vol.44, issue.16, pp.419-429, 1980. ,
The birational geometry of toric 3-folds, Izv. Akad, Nauk SSSR Ser. Mat. Tom English transl., Math. USSS- IZV, vol.46, issue.21, pp.972-981, 1982. ,
The geometry of toric varieties, Uspehi Mat, Nauk Russian Math. Surv, vol.33, issue.33, pp.85-134, 1978. ,
Higher-Dimensional Algebraic Geometry, 2001. ,
Sous-groupes algébriques de rang maximum du groupe de Cremona, Ann. Sci. ´ Ecole Norm, vol.3, issue.4, pp.507-588, 1970. ,
Combinatorial convexity and algebraic geometry, Graduate Texts in Mathematics, vol.168, 1996. ,
Unimodular Triangulations, and Binary Covers of Rational Polyhedral Cones, Discrete and Computational Geometry, pp.205-216, 1999. ,
On resolutions of cyclic quotient singularities, Publ. RIMS, vol.10, pp.293-328, 1974. ,
Intersection Theory, 1984. ,
Introdution to toric varieties, Annals of Math. St, vol.131, 1993. ,
The Nash Problem on Arc Families of Singularities, Duke Math. J, vol.120, issue.3, pp.601-620, 2003. ,
Threefolds and deformations of surface singularities, Invent. Math. v, vol.26, pp.530-539, 1985. ,
Introduction to the Mori Program, 2002. ,
On 3-dimensional terminal singularities, Nagoya Math, J. v, vol.98, pp.43-66, 1985. ,
On four dimensional terminal quotient singularities, Mathematics of Computation, vol.184, issue.51, pp.769-786, 1988. ,
Terminal quotient singularities in dimensions three and four, Proc. Amer. Math. Soc., v. 90, pp.15-20, 1984. ,
Local classification of quotients of complex manifolds by discontinuous groups, Duke Math, Jour, vol.34, pp.375-386, 1967. ,
Canonical three folds, Jour. de Géométrie Algébrique d'Angers, Alphen aan den Rijn, pp.273-310, 1983. ,
Decomposition of toric morphisms, em Arithmetic and Geometry , papers dedicad to I.R.Shafarevich on the ocasion of his 60th birthday, Geometry, Progress in Math, vol.36, pp.395-418, 1983. ,
Minimal models of canonical threefolds, Algebraic Varieties and Analytic Varieties, Adv. Stud. Pure Math, pp.131-180, 1983. ,
Young person's guide to canonical singularities, Algebraic Geometry, S.J. Bloch. ou Proc. of Symp. in Pure Math. A.M.S, vol.46, pp.345-416, 1985. ,
Stable quintuples and terminal quotient singularities, Proc. Cambridge Philos. Soc. 107, pp.91-101, 1990. ,
Hilbert bases, Carathéodory's theorem and combinatorial optimization, pp.431-456, 1990. ,
Lattice tetrahedra, Canad, J. Math, vol.16, pp.389-396, 1964. ,