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Classification of poset-block spaces admitting MacWilliams-type identity
Classification poset-block spaces admitting MacWilliams-type identity
2012/3/1
In this work we prove that a poset-block space admits a MacWilliams-type identity if and only if the poset is hierarchical and at any level of the poset, all the blocks have the same dimension. When t...
J.Ritt [1] has investigated the structure of complex polynomials with respect to superposition.
The polynomial P(x) is said to be indecomposable iff the representation P = P1 ◦ P2 means that
e...
Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms
threefolds non-isomorphic endomorphisms
2010/11/12
We prove a structure theorem for non-isomorphic endomorphisms of weak Q-Fano threefolds, or more generally for threefolds with big anti-canonical divisor. Also provided is a criterion for a fibred rat...
Oeljeklaus-Toma manifolds admitting no complex subvarieties
Locally conformally K¨ahler manifold K¨ahler potential positive bundle
2010/11/30
The Oeljeklaus-Toma (OT-) manifolds are complex manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces Sm.
A complete locally convex space of countable dimension admitting an operator with no invariant subspaces
Cyclic operators invariant subspaces topological vector spaces
2010/12/6
We construct a complete locally convex topological vector space X of countable algebraic dimension and a continuous linear operator T : X → X such that T has no non-trivial closed invariant subspaces.
Star products with separation of variables admitting a smooth extension
deformation quantization with separation of variables
2011/2/28
Given a complex manifold M with an open dense subset endowed with a pseudo-K¨ahler form ! which cannot be smoothly extended to a larger open subset.
On the Modular Curve X(6) and Surfaces Admitting Genus 2 Fibrations
Fibrations moduli spaces
2010/3/1
In this paper, we study the moduli spaces of surfaces admitting nonsmooth genus 2 fibrations with slope l = 6 (necessarily) over curves of genus \geq 1. We determine the structure of each connected co...