In algebraic geometry, a toroidal embedding is an open embedding of algebraic varieties that locally looks like the embedding of the open torus into a toric variety. The notion was introduced by Mumford to prove the existence of semistable reductions of algebraic varieties over one-dimensional bases.
and 25 Related for: Toroidal embedding information
In algebraic geometry, a toroidalembedding is an open embedding of algebraic varieties that locally looks like the embedding of the open torus into a...
be embedded in a plane can also be embedded in a torus, so every planar graph is also a toroidal graph. A toroidal graph that cannot be embedded in a...
the number of holes. The term "toroidal polyhedron" is also used for higher-genus polyhedra and for immersions of toroidal polyhedra. The homeomorphism...
Gordan's lemma Toric ideal Toric stack (roughly this is obtained by replacing the step of taking a GIT quotient by a quotient stack) Toroidalembedding...
of lectures on the theory. He also was one of the founders of the toroidalembedding theory; and sought to apply the theory to Gröbner basis techniques...
product topology. A standard way to visualize a solid torus is as a toroid, embedded in 3-space. However, it should be distinguished from a torus, which...
embedding, cellular embedding or map is an embedding in which every face is homeomorphic to an open disk. A closed 2-cell embedding is an embedding in...
planar graph. A 1-outerplanar embedding of a graph is the same as an outerplanar embedding. For k > 1 a planar embedding is k-outerplanar if removing the...
direction, toric varieties are algebraic varieties acted on by a torus. Toroidalembeddings have recently led to advances in algebraic geometry, in particular...
The Center for Embedded Networked Sensing (CENS) was a research enterprise funded by the National Science Foundation based at the University of California...
thickness 3 and queue number 2. The Dyck graph is a toroidal graph; the dual of its symmetric toroidalembedding is the Shrikhande graph. The automorphism group...
Knitted and crocheted tori have also been constructed depicting toroidalembeddings of the complete graph K7 and of the Heawood graph. The crocheting...
the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological spaces. It also studies immersions of graphs. Embedding a graph...
the seven colour theorem. The other half of the theorem states that all toroidal subdivisions can be colored with seven or fewer colors. The Szilassi polyhedron...
G.; Knudsen, Finn Faye; Mumford, David; Saint-Donat, B. (1973), ToroidalEmbeddings I, Lecture Notes in Mathematics, vol. 339, Berlin, New York: Springer-Verlag...
certain Seifert manifolds. A 3-manifold that is not atoroidal is called toroidal. Apanasov, Boris N. (2000), Conformal Geometry of Discrete Groups and Manifolds...
graph K7 is a toroidal graph: it is not planar but can be embedded in a torus, with each face of the embedding being a triangle. This embedding has the Heawood...
the corresponding eigenvectors. Step 5. Use diffusion map to get the embedding Ψ t {\displaystyle \Psi _{t}} . In the paper Nadler et al. showed how...
6-cycles, is the Coxeter graph. The Heawood graph is a toroidal graph; that is, it can be embedded without crossings onto a torus. The result is the regular...
K_{3,3}} is a toroidal graph, which means that it can be embedded without crossings on a torus, a surface of genus one. These embeddings solve versions...
an embedding on a manifold: the cell complex formed by the cycles of the cover may have non-manifold topology at its vertices. The circular embedding conjecture...
Segre embedding. Furthermore, any variety that admits one embedding into projective space admits many others, for example by composing the embedding with...
Global Information