Isotopy Galois spaces
نویسندگان
چکیده
منابع مشابه
Geometric Knot Spaces and Polygonal Isotopy
The space of n-sided polygons embedded in three-space consists of a smooth manifold in which points correspond to piecewise linear or “geometric” knots, while paths correspond to isotopies which preserve the geometric structure of these knots. The topology of these spaces for the case n = 6 and n = 7 is described. In both of these cases, each knot space consists of five components, but contains...
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1. Paul Bachmann, Die analytische Zahlentheorie, Leipzig, 1894. 2. Ernest Cesàro, Étude moyenne du plus grand commun diviseur de deux nombres, Ann. Mat. Pura Appl. (2) vol. 13 (1885) pp. 233-268. 3. Leonard Eugene Dickson, History of the theory of numbers, vol. II, reprinted New York, 1952. 4. J. Franel, Sur une formule utile dans la détermination de certaines valeurs asymptotiques, Math. Ann. ...
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Some new families of caps in Galois affine spaces AG(N , q) of dimension N ≡ 0 (mod 4) and odd order q are constructed. Such caps are proven to be complete by using some new ideas depending on the concept of a regular point with respect to a complete plane arc. As a corollary, an improvement on the currently known upper bounds on the size of the smallest complete caps in AG(N , q) is obtained.
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We construct and study universal spaces for birational invariants of algebraic varieties over algebraic closures of finite fields.
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If the underlying field is F2, the answer is easy: AG(n,2) is itself a cap of 2n points and it forms up to projective equivalence the unique largest cap in PG(n,2). Assume therefore we work in PG(n,q) or AG(n,q) for q > 2. The canonical models for caps are quadrics of Witt index 1. They yield (q+1)-caps in AG(2,q) (and in PG(2,q)) and obviously these ovals are maximal for odd q. In odd characte...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1973
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1973.45.435