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We compute characteristic cycles of the IC-sheaves associated to the K-orbits on Grassmannians.

Algebraic Geometry · Mathematics 2019-10-25 Kostiantyn Timchenko

The paper deals with systems of ordinary differential equations containing in the right-hand side controls which are discontinuous in phase variables. These controls cause the occurrence of sliding modes. If one uses one of the well-known…

Optimization and Control · Mathematics 2023-05-05 Alexander Fominyh

Small amplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis relies on the use of complex vectors (or…

Soft Condensed Matter · Physics 2013-05-29 Michel Destrade , Michael Hayes

We compute the number of equivalence classes of nonperiodic covering cycles of given length in a non oriented connected graph. A covering cycle is a closed path that traverses each edge of the graph at least once. A special case is the…

Combinatorics · Mathematics 2015-10-30 G. A. T. F da Costa , M. Policarpo

We are going to determine all the self-injective cluster tilted algebras. All are of finite representation type and special biserial.

Representation Theory · Mathematics 2007-05-29 Claus Michael Ringel

In this paper we provide some sufficient conditions for the existence of an odd or even cycle that passing a given vertex or an edge in $2$-connected or $2$-edge connected graphs. We provide some similar conditions for the existence of an…

Discrete Mathematics · Computer Science 2015-12-09 Saieed Akbari , Khashayar Etemadi , Peyman Ezzati , Mehrdad Ghadiri

In this paper, we introduced the polarization of Koszul cycles and use it to study the depth function of powers of edge ideals of whisker graphs.

Commutative Algebra · Mathematics 2013-10-31 Jürgen Herzog , Takayuki Hibi , Ayesha Asloob Qureshi

In this work we develop some categorical aspects of the double structure of a module.

Algebraic Geometry · Mathematics 2023-08-30 Thiago F. da Silva

Moderately large numbers of transitive elliptic spreads are constructed in characteristic $2$ and dimension $\equiv $ 2 (mod 4).

Combinatorics · Mathematics 2015-12-04 W. M. Kantor

We prove a uniqueness result for limit cycles of a class of second order ODE's. As a special case, we prove limit cycle's uniqueness for an ODE studied in \cite{ETBA}.

Dynamical Systems · Mathematics 2010-03-04 M. Sabatini

We present several characterizations of circle graphs, which follow from Bouchet's circle graph obstructions theorem.

Combinatorics · Mathematics 2016-10-20 Robert Brijder , Lorenzo Traldi

We discuss several ways of packing a hyperbolic surface with circles (of either varying radii or all being congruent) or horocycles, and note down some observations related to their symmetries (or the absence thereof).

Geometric Topology · Mathematics 2022-02-21 Maria Dostert , Alexander Kolpakov

The volume of a cyclic polytope can be obtained by forming an iterated integral along a suitable piecewise linear path running through its edges. Different choices of such a path are related by the action of a subgroup of the combinatorial…

Rings and Algebras · Mathematics 2025-06-03 Felix Lotter , Rosa Preiß

I construct regulator indecomposable higher Chow cycles in elliptic surfaces satisfying certain conditions. As an application I give an alternative proof of a theorem of Gordon and Lewis, which asserts that there is a real regulator…

Algebraic Geometry · Mathematics 2014-02-13 Masanori Asakura

We describe a new notation for finite transformations. This attractor-cycle notation extends the orbit-cycle notation for permutations and builds upon existing transformation notations. How the basins of attraction of a finite…

Group Theory · Mathematics 2025-06-05 Attila Egri-Nagy , Chrystopher L. Nehaniv

A generalization of incidence relations in abstract polytope has been explored, and parameterized surfaces are used as primers. The abstract orientable incidence structure is defined as an algebraic model of incidence relations, in which…

Combinatorics · Mathematics 2023-03-09 Yu-Wei Huang

We show the hardness of the geodetic hull number for chordal graphs.

Discrete Mathematics · Computer Science 2017-04-10 Stéphane Bessy , Mitre C. Dourado , Lucia D. Penso , Dieter Rautenbach

We give necessary and sufficient conditions for the hull of a coherent sheaf to be coherent.

Algebraic Geometry · Mathematics 2015-09-09 János Kollár

Black hole mechanics was recently extended by replacing the more commonly used event horizons in stationary space-times with isolated horizons in more general space-times (which may admit radiation arbitrarily close to black holes).…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Abhay Ashtekar , Christopher Beetle , Jerzy Lewandowski

The state of the superfluid He-II theory is briefly surveyed - some aspects of its history, achievements, and unsolved problems.

Other Condensed Matter · Physics 2009-04-29 Maksim D. Tomchenko