Antiprismlessness, or: Reducing Combinatorial Equivalence to Projective Equivalence in Realizability Problems for Polytopes

2017 ◽  
Vol 57 (4) ◽  
pp. 966-984 ◽  
Author(s):  
Michael Gene Dobbins
2016 ◽  
Vol 13 (4) ◽  
pp. 846-852
Author(s):  
Baghdad Science Journal

Plane cubics curves may be classified up to isomorphism or projective equivalence. In this paper, the inequivalent elliptic cubic curves which are non-singular plane cubic curves have been classified projectively over the finite field of order nineteen, and determined if they are complete or incomplete as arcs of degree three. Also, the maximum size of a complete elliptic curve that can be constructed from each incomplete elliptic curve are given.


1941 ◽  
Vol 42 (2) ◽  
pp. 469 ◽  
Author(s):  
Robert M. Thrall

2008 ◽  
Vol 320 (6) ◽  
pp. 2349-2362 ◽  
Author(s):  
William J. Heinzer ◽  
Louis J. Ratliff ◽  
David E. Rush

2011 ◽  
Vol 83 (8) ◽  
Author(s):  
Stephen Casey ◽  
Maciej Dunajski ◽  
Gary Gibbons ◽  
Claude Warnick

1989 ◽  
Vol 121 ◽  
pp. 433-453
Author(s):  
N. Karcanias ◽  
G. Kalogeropoulos

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2683-2689 ◽  
Author(s):  
Hana Chudá ◽  
Nadezda Guseva ◽  
Patrik Peska

In this paper we study special mappings between n-dimensional (pseudo-) Riemannian manifolds. In 2003 Topalov introduced PQ?-projectivity of Riemannian metrics, with constant ? ? 0,1 + n. These mappings were studied later by Matveev and Rosemann and they found that for ? = 0 they are projective. These mappings could be generalized for case, when ? will be a function on manifold. We show that PQ?- projective equivalence with ? is a function corresponds to a special case of F-planar mapping, studied by Mikes and Sinyukov (1983) with F = Q. Moreover, the tensor P is derived from the tensor Q and non-zero function ?. We assume that studied mappings will be also F2-planar (Mikes 1994). This is the reason, why we suggest to rename PQ? mapping as F?2. For these mappings we find the fundamental partial differential equations in closed linear Cauchy type form and we obtain new results for initial conditions.


1987 ◽  
Vol 109 (2) ◽  
pp. 381-393 ◽  
Author(s):  
L.J Ratliff

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