scholarly journals LINEARIZATION OF HOLOMORPHIC FAMILIES OF ALGEBRAIC AUTOMORPHISMS OF THE AFFINE PLANE

2022 ◽  
Author(s):  
SHIGERU KURODA ◽  
FRANK KUTZSCHEBAUCH ◽  
TOMASZ PEŁKA
Keyword(s):  
Affine Plane

On a conjecture of Hughes

1967 ◽  
Vol 63 (3) ◽  
pp. 647-652 ◽  
Author(s):  
Judita Cofman
Keyword(s):  
Projective Plane ◽  
Permutation Group ◽  
Translation Plane ◽  
Collineation Group ◽  
Affine Plane ◽  
Finite Projective Plane ◽  
Transitive Permutation Group ◽  
Condition C

D. R. Hughes stated the following conjecture: If π is a finite projective plane satisfying the condition: (C)π contains a collineation group δ inducing a doubly transitive permutation group δ* on the points of a line g, fixed under δ, then the corresponding affine plane πg is a translation plane.

Bayesian Nash Equilibrium in Electricity Spot Markets: An Affine-Plane Approximation Approach

2021 ◽  
pp. 1-1
Author(s):  
Pranjal Pragya Verma ◽  
Mohammad Hesamzadeh ◽  
Ross Baldick ◽  
Darryl Biggar ◽  
K. Shanti Swarup ◽  
...  
Keyword(s):  
Nash Equilibrium ◽  
Affine Plane ◽  
Spot Markets ◽  
Approximation Approach ◽  
Bayesian Nash Equilibrium ◽  
Electricity Spot Markets

scholarly journals On the Non-Existence of Certain Hyperovals in Dual André Planes of Order $2^{2h}$

10.37236/912 ◽  
2008 ◽  
Vol 15 (1) ◽  
Author(s):  
Angela Aguglia ◽  
Luca Giuzzi
Keyword(s):  
Affine Plane ◽  
Dimension 2 ◽  
Desarguesian Affine Plane

No regular hyperoval of the Desarguesian affine plane $AG(2,2^{2h})$, with $h>1$, is inherited by a dual André plane of order $2^{2h}$ and dimension $2$ over its kernel.

scholarly journals Open surfaces with congruent geodesics

1995 ◽  
Vol 38 (1) ◽  
pp. 179-183
Author(s):  
Charlambos Charitos
Keyword(s):  
Euclidean Space ◽  
Affine Plane ◽  
Compact Surface

The aim of this paper is to prove the Theorem: Let M be a complete non compact surface without boundary in the euclidean space 3. We suppose that all geodesies of M are congruent. Then M is an affine plane in 3.

scholarly journals Poisson Cohomology of the Affine Plane

2002 ◽  
Vol 251 (1) ◽  
pp. 448-460 ◽  
Author(s):  
Claude Roger ◽  
Pol Vanhaecke
Keyword(s):  
Affine Plane ◽  
Poisson Cohomology
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