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Pencils of cubics with eight base points lying in convex position in $\mathbb{R}P^2$
Pencils of cubics eight base points convex position
2011/1/21
To a generic con guration of eight points in convex position in the plane, we associate a list consisting of the following information: for all of the 56 conics determined by ve of the points, we spe...
Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation
Hodograph solutions scalar function Euler-Poisson-Darboux equation
2010/4/2
It is shown that the hodograph solutions of the dispersionless coupled KdV (dcKdV) hierarchies describe critical and degenerate critical points of a scalar function which obeys the Euler-Poisson-Darbo...
Seiberg-Witten invariants of mapping tori,symplectic fixed points, and Lefschetz numbers
mapping tori symplectic fixed points Lefschetz numbers
2010/3/3
Seiberg-Witten invariants of mapping tori,symplectic fixed points, and Lefschetz numbers。
Trace Classes and Fixed Points for the Extended Modular Group \overline{G}
Extended modular group trace class fixed points
2010/2/25
The extended modular group \overline{G}=PGL(2,\mathbb{Z}) is the group obtained by adding the reflection R(z)=1/\overline{z} to the generators of the modular group G =PSL(2, {Z}). In this paper, we fi...
A New Characteristic of Möbius Transformations by Use of Apollonius Points of Pentagons
Mö bius transformations Apollonius points of pentagons
2010/2/26
In this paper, we give a new characterization of Möbius transformations. To this end, a new concept of ''Apollonius points of pentagons'' is used.
Convex lattice polytopes and cones with few lattice points inside, from a birational geometry viewpoint
Convex lattice polytopes cones lattice points inside
2010/10/29
It is pretty well-known that toric Fano varieties of dimension k with terminal singularities correspond to convex lattice polytopes P in R^k of positive finite volume, such that intersection of P and...
We give five necessary and sufficient conditions for a metric space to be complete.
A NOTE ON INTUITIONISTIC SETS AND INTUITIONISTIC POINTS
Intuitionistic set intuitionistic point
2010/3/17
The purpose of this note is to define the so-called "intuitionistic sets" and "intuitionistic points", and obtain their fundamental properties.