Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Công bố khoa học tiêu biểu
* Dữ liệu chỉ mang tính chất tham khảo
Sắp xếp:
Axiom systems implying infinity in the foundations of geometry
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 62 - Trang 109-120 - 2020
This is a survey of axiom systems for fragments of naturally encountered geometries which are just barely strong enough to imply that there are infinitely many objects in the universe of any of its models.
Self-affine convex discs are polygons
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 53 - Trang 219-224 - 2011
A disc in
$${{\mathbb R}^2}$$
is called self-affine if it can be dissected into m ≥ 2 affine images of itself. We show that every self-affine convex disc D is a polygon. As a corollary, it turns out that D must be a triangle, a quadrangle or a pentagon.
Iteration of involutes of constant width curves in the Minkowski plane
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 55 - Trang 479-496 - 2014
In this paper we study properties of the area evolute (AE) and the center symmetry set (CSS) of a convex planar curve
$$\gamma $$
. The main tool is to define a Minkowski plane where
......
Galois covers of the projective line by smooth plane curves of large degree
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 64 - Trang 311-365 - 2022
Let C be an irreducible plane curve of degree
$$d\ge 4$$
. A point
$$p\in {\mathbb {P}}^1$$
is called a Galois point of C if the projection
......
An imaginary refined count for some real rational curvesAbstract In 2015, Mikhalkin introduced a refined count for the real rational curves in a toric surface which pass through a set consisting of real points and pairs of complex conjugated points chosen generically on the toric boundary of the surface. He then proved that the result of this refined count depends only on the number of pairs of complex conjugated points ... ...
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 64 Số 3 - Trang 721-751 - 2023
Schur rings over a product of Galois rings
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 55 - Trang 105-138 - 2013
The recently developed theory of Schur rings over a finite cyclic group is generalized to Schur rings over a ring
$$R$$
being a product of Galois rings of coprime characteristics. It is proved that if the characteristic of
$$R$......
Genus-minimal crystallizations of PL 4-manifolds
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 59 - Trang 101-111 - 2017
For
$$d\ge 2$$
, the regular genus of a closed connected PL d-manifold M is the least genus (resp., half of genus) of an orientable (resp., a non-orientable) surface into which a crystallization of M imbeds regularly. The regular genus of every or......
Rings with polynomial identity and centrally essential rings
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 60 - Trang 657-661 - 2019
It is proved that for any prime integer p and each field F of characteristic p, there exists a centrally essential F-algebra which is not a PI-ring and is not algebraic over its center.
Unitals with many involutory translations
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 64 - Trang 287-297 - 2022
If every point of a unital is fixed by a non-trivial translation and at least one translation has order two then the unital is classical (i.e., hermitian).
The real Abelian main conjecture in the finite non semi-simple case
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - - Trang 1-29 - 2023
Let
$$K/\mathbb {Q}$$
be a real cyclic extension of degree divisible by p. We analyze the statement of the “Real Abelian Main Conjecture”, for the p-class group
$${\mathscr {H}}_K$$
of K. The classical algebraic definiti......
Tổng số: 499
- 1
- 2
- 3
- 4
- 5
- 6
- 10