Integral Gassman equivalence of algebraic and hyperbolic manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2077-2
Abstract: In this paper we construct arbitrarily large families of smooth projective varieties and closed Riemannian manifolds that share many algebraic and analytic invariants. For instance, every non-arithmetic, closed hyperbolic 3-manifold admits arbitrarily large collections of… read more here.
Keywords: integral gassman; hyperbolic manifolds; gassman equivalence; equivalence algebraic ... See more keywords
Arbitrarily large Tate–Shafarevich group on Abelian surfaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.10.004
Abstract: Abstract We outline a method for demonstrating arbitrarily large Tate–Shafarevich groups which does not require explicit homogeneous spaces, and we show that the Tate–Shafarevich groups over Q of absolutely simple Abelian surfaces (in particular, their… read more here.
Keywords: arbitrarily large; abelian surfaces; large tate; tate shafarevich ... See more keywords
Convergence Assessment of the Trajectories of a Bioreaction System by Using Asymmetric Truncated Vertex Functions
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12040513
Abstract: In several open and closed-loop systems, the trajectories converge to a region instead of an equilibrium point. Identifying the convergence region and proving the asymptotic convergence upon arbitrarily large initial values of the state variables… read more here.
Keywords: truncated functions; using asymmetric; arbitrarily large; convergence ... See more keywords