Results 41 to 50 of about 73,642 (235)
General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure [PDF]
, 2015 We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two.
Cvetic, Mirjam +3 more
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Endotrivial Modules for the General Linear Group in a Nondefining Characteristic [PDF]
, 2014 Suppose that $G$ is a finite group such that $\operatorname{SL}(n,q)\subseteq G \subseteq \operatorname{GL}(n,q)$, and that $Z$ is a central subgroup of $G$. Let $T(G/Z)$ be the abelian group of equivalence classes of endotrivial $k(G/Z)$-modules, where $
Carlson, Jon F. +2 more
core +3 more sources
When rational sections become cyclic — Gauge enhancement in F-theory via Mordell-Weil torsion
Journal of High Energy Physics, 2018 We explore novel gauge enhancements from abelian to non-simply-connected gauge groups in F-theory. To this end we consider complex structure deformations of elliptic fibrations with a Mordell-Weil group of rank one and identify the conditions under which
Florent Baume +3 more
doaj +1 more source
A stringy test of the Scalar Weak Gravity Conjecture
Nuclear Physics B, 2019 We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar fields.
Seung-Joo Lee +2 more
doaj +1 more source
A note on torsion-free abelian groups of finite rank [PDF]
Proceedings of the American Mathematical Society, 1973 Let G be a torsion-free abelian group of rank n and X= {xl, *. , x,j a maximal set of rationally independent elements in G. It is well known that any g e G can be uniquely written g= oc1xl?+ +x, for some cci, . , ?C72, E Q, the rational numbers. This enables us to define, for any such (G, X), a collection of subgroups of Q and "natural" isomorphisms ...
W. Wickless, C. Vinsonhaler
openaire +2 more sources
Compact K\"ahler manifolds admitting large solvable groups of automorphisms
, 2015 Let G be a group of automorphisms of a compact K\"ahler manifold X of dimension n and N(G) the subset of null-entropy elements. Suppose G admits no non-abelian free subgroup.
Dinh, Tien-Cuong, Hu, Fei, Zhang, De-Qi
core +1 more source
Khovanskii's theorem and effective results on sumset structure
Discrete Analysis, 2021 Khovanskii's theorem and effective results on sumset structure, Discrete Analysis 2021:27, 25 pp. Let $A$ be a subset of an Abelian group. The $n$-_fold sumset_ $nA$ of $A$ is the set $\{a_1+\dots+a_n:a_1,\dots,a_n\in A\}$.
Michael J. Curran, Leo Goldmakher
doaj +1 more source
The Cotypeset of a Torsion Free Abelian Group of Rank Two [PDF]
Proceedings of the American Mathematical Society, 1982 The cotypeset (set of types of rank one factors) of a torsion free abelian group of rank two is characterized.
W. J. Wickless, C. Vinsonhaler
openaire +3 more sources
Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis
Advanced Science, EarlyView.In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley +1 more source
Commutator Length of Finitely Generated Linear Groups
International Journal of Mathematics and Mathematical Sciences, 2008 The commutator length “cl(𝐺)” of a group 𝐺 is the least natural number 𝑐 such that every element of the derived subgroup of 𝐺 is a product of 𝑐 commutators.
Mahboubeh Alizadeh Sanati
doaj +1 more source