7 citations · 9 across the 4 of their papers we have counts for
6 papers
Affine reflection transforms of convex polygons with parallel opposite sides
Peter Giblin, Stanisław Janeczko, Michał Zwierzyński
We study affine reflection transforms of convex polygons with parallel opposite sides. An opposite-side involution sends a pencil through an interior point to a piecewise smooth fa…
Reflexion maps and geometry of surfaces in R^4
Peter Giblin, Stanislaw Janeczko, Maria Aparecida Soares Ruas
In this article we introduce new affinely invariant points---`special parabolic points'---on the parabolic set of a generic surface in real 4-space, associated with symmetries…
Anti-orthotomics of frontals and their applications
Stanisław Janeczko, Takashi Nishimura
Let be a frontal with its Gauss mapping and let be a point such that for any .…
Singularities of affine equidistants: extrinsic geometry of surfaces in 4-space
W. Domitrz, S. Janeczko, P. de M. Rios +1
For a generic embedding of a smooth closed surface into , the subset of which is the affine -equidistant of appears as the discriminant set of…
On a generic symmetry defect hypersurface
S. Janeczko, Z. Jelonek, M. A. S. Ruas
Let f : X -> Y be a dominant polynomial mapping of affine varieties. For generic y in Y we have Sing(f^{-1}(y)) = f^{-1}(y) \cap Sing(X): As an application we show that symmetry de…
Generic singularities of symplectic and quasi-symplectic immersions
W. Domitrz, S. Janeczko, M. Zhitomirskii
For any k<2n we construct a complete system of invariants in the problem of classifying singularities of immersed k-dimensional submanifolds of a symplectic 2n-manifold at a generi…