Geodesic
Directional Rational Approximations with Some Applications to Algebraic Geometry
Informatics and Automation, Birational geometry: Linear systems and finitely generated algebras, Tome 240 (2003), pp. 73-81

Voir la notice de l'article provenant de la source Math-Net.Ru

We discuss the existence and order of accuracy of directional rational approximations of points in $\mathbb R^n$. As an application, we provide a simplified version of the lemma on Diophantine approximation. We also prove a generalization of the Rationality Theorem of log-MMP on the basis of a newer geometric approach. 
@article{TRSPY_2003_240_a4,
     author = {A. A. Borisov and V. V. Shokurov},
     title = {Directional {Rational} {Approximations} with {Some} {Applications} to {Algebraic} {Geometry}},
     journal = {Informatics and Automation},
     pages = {73--81},
     publisher = {mathdoc},
     volume = {240},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2003_240_a4/}
}
TY  - JOUR
AU  - A. A. Borisov
AU  - V. V. Shokurov
TI  - Directional Rational Approximations with Some Applications to Algebraic Geometry
JO  - Informatics and Automation
PY  - 2003
SP  - 73
EP  - 81
VL  - 240
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2003_240_a4/
LA  - ru
ID  - TRSPY_2003_240_a4
ER  - 
%0 Journal Article
%A A. A. Borisov
%A V. V. Shokurov
%T Directional Rational Approximations with Some Applications to Algebraic Geometry
%J Informatics and Automation
%D 2003
%P 73-81
%V 240
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2003_240_a4/
%G ru
%F TRSPY_2003_240_a4
A. A. Borisov; V. V. Shokurov. Directional Rational Approximations with Some Applications to Algebraic Geometry. Informatics and Automation, Birational geometry: Linear systems and finitely generated algebras, Tome 240 (2003), pp. 73-81. http://geodesic.mathdoc.fr/item/TRSPY_2003_240_a4/