On tori triangulations associated with two-dimensional continued fractions of cubic irrationalities

Functional Analysis and its Applications

Volumn 38, Issue 2, 2004, Pages 102-110

  Karpenkov, O N ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Convex hulls; Cubic extensions of ; Integer operators; Multidimensional continued fractions

Indexed keywords

EID: 3142743384     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:FAIA.0000034040.08573.22     Document Type: Article

References (7)

1. V. I. Arnold, Continued Fractions [in Russian], MCCME, Moscow, 2002.
2. Z. I. Borevich and I. R. Shafarevich, Number Theory [in Russian], Moscow, 1985; English transl.: Academic Press, New York-London, 1966.
3. B. N. Delone and D. K. Faddeev, The theory of irrationalities of the third degree, Trudy Mat. Inst. Steklov., 11, 1940; English transl.: Amer. Math. Soc., Providence, R.I., 1964.
4. E. I. Korkina, "La périodicité des fractions continues multidimensionelles," C.R. Acad. Sci. Paris, 319, No. 8, 777-780 (1994).
5. E. I. Korkina, "Two-dimensional continued fractions. The simplest examples," Trudy Mat. Inst. Steklov, 209, 143-166 (1995).
6. J.-O. Moussafir, "Sails and Hilbert bases," Funkts. Anal. Prilozhen., 34, No. 2, 43-49 (2000).
7. H. Tsuchihashi, "Higher-dimensional analogues of periodic continued fractions and cusp singularities," Tohoku Math. J., 35, No. 4, 607-639 (1983).