1 citations · 1 across the 6 of their papers we have counts for
6 papers
An immersed flat polyhedral Klein bottle
Stepan Paul
We present a polyhedral surface in Euclidean 3-space with the topology of a Klein bottle such that every vertex has zero angle defect and the star of every vertex is embedded. From…
A piecewise-linear isometrically immersed flat Klein bottle in Euclidean 3-space
Stepan Paul
We present numerical polyhedron data for the image of a piecewise-linear map from a zero-curvature Klein bottle into Euclidean 3-space such that every point in the domain has a nei…
The Flat Klein Bottle Rendered in Curved-Crease Origami
Stepan Paul
We introduce a simple and concrete way of visualizing in three dimensions a "flat" Klein bottle -- one whose local intrinsic geometry is the same as that of a flat plane -- which p…
Tensor splitting properties of n-inverse pairs of operators
Stepan Paul, Caixing Gu
In this paper we study n-inverse pairs of operators on the tensor product of Banach spaces. In particular we show that an n-inverse pair of elementary tensors of operators on the t…
A duality theorem for syzygies of Veronese ideals
Stepan Paul
We prove a duality theorem for simplicial complexes arising from a combinatorial construction we define, which applies to the squarefree monomial complexes for Veronese ideals of p…
New methods for determining speciality of linear systems based at fat points in P^n
Stepan Paul
In this paper we develop techniques for determining the dimension of linear systems of divisors based at a collection of general fat points in P^n by partitioning the monomial basi…