J. P. Sorenson, ANTS-8 Poster Session Organizer [KK] [La] [St] Kulesz, L., and Keller, W.: Courbes alg briques de genre 2 et 3 poss dant de nombreux e e points rationnels. C. R. Acad. Sci. Paris S r. 1 321 (1995), 1469 1472. e Lang, S.: Hyperbolic and diophantine analysis, Bull. AMS 14 (1986), 159 205. Stahlke, C.: Algebraic curves over Q with many rational points and minimal automorphism group. Internat. Math. Res. Notices 1997, 1 4. Abstract Infrastructures of Unit Rank Two Felix Fontein, University of Z¨ rich, felix.fontein@math.uzh.ch u On our poster, we want to give information on the infrastructure of a global eld of unit rank two. The infrastructure of a global eld is the set of all minima of a fractional ideal, together with the neighbor relation and the baby step operations [HMPLR87, Fon08c]. In the case of unit rank one, it is both used for computation of fundamental units [Buc85a] and for cryptography [SSW96, JSS07]. One main emphasis lies on visualization, both of the set of minima together with baby steps (in the sense of J. Buchmann in [Buc85a]) and the generalized VoronoË algorithm. The generalized ı VoronoË algorithm was rst described by
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Abstract Infrastructures of Unit Rank Two (abstract only)
Fontein, Felix
Follow ACM Communications in Computer Algebra
, Volume 42 (1-2)
Association for Computing Machinery – Jul 25, 2008
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