Titlebook: Combinatorial Methods in Topology and Algebra; Bruno Benedetti,Emanuele Delucchi,Luca Moci Book 2015 Springer International Publishing Swi

洞穴

Tropical Oriented Matroids properties of the types of points in an arrangement of tropical hyperplanes—in much the same way as the covectors of (classical) oriented matroids describe the types in arrangements of linear hyperplanes.They are in correspondence with other objects of interest in discrete geometry: subdivisions of

Commission

Rota’s Conjecture, the Missing Axiom, and Prime Cycles in Toric Varieties representable matroids using Milnor numbers and the Bergman fan. The same approach to the conjecture in the general case (for possibly non-representable matroids) leads to several intriguing questions on higher codimension algebraic cycles in toric varieties.

調(diào)情

A Combinatorial Classification of Buchsbaum Simplicial Posets008, Novik and Swartz established lower bounds on the face numbers of a Buchsbaum simplicial poset as a function of its dimension and its topological Betti numbers over .. They conjectured that these lower bounds are sufficient to classify face numbers of Buchsbaum simplicial posets with prescribed

責怪

prolate

On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes Ron: every real-valued function on the set of interior lattice points of the zonotope defined by . can be extended to a function on the whole zonotope of the form .(.).. in a unique way, where .(.) is a differential operator that is contained in the so-called internal .-space. We construct an expli

Neuralgia

Root Polytopes of Crystallographic Root Systemshat we denote by . and call the root polytope of .. This description is attained by considering a set of distinguished faces, indexed by the subsets of a fixed root basis ., which is a complete set of representatives of the orbits of the faces under the action of the Weyl group .. The description re

Occlusion

On Product Formulas for Volumes of Flow Polytopes, whose volume is ., coincides with .. Our construction of the polytopes . is an application of a systematic method we develop for expressing volumes of a class of flow polytopes as the number of certain triangular arrays. The latter is also the constant term of a formal Laurent series.

neutral-posture

On the Topology of the Cambrian Semilattices order on . induced by so-called .-sortable elements. In this note, we define an edge-labeling of ., and show that this is an EL-labeling for every closed interval of .. In addition, we use our labeling to show that every finite open interval in a Cambrian semilattice is either contractible or spher

CLAIM

Reservation