Deformations of smooth toric surfacesmanuscripta mathematica - Tập 134 - Trang 123-137 - 2010
Nathan Owen Ilten
For a complete, smooth toric variety Y, we describe the graded vector space
$${T_Y^1}$$ . Furthermore, we show that smooth toric surfaces are unobstructed
and that a smooth toric surface is rigid if and only if it is Fano. For a given
toric surface we then construct homogeneous deformations by means of Minkowski
decompositions of polyhedral subdivisions, compute their images under the
Kodaira-Spen... hiện toàn bộ
Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equationsmanuscripta mathematica - Tập 169 - Trang 401-423 - 2021
Jinwoo Shin
In this paper, we study a three-dimensional Ricci-degenerate Riemannian manifold
$$(M^3,g)$$ that admits a smooth nontrivial solution f to the equation 1
$$\begin{aligned} \nabla df=\psi Rc+\phi g, \end{aligned}$$ where $$\psi ,\phi
$$ are given smooth functions of f, Rc is the Ricci tensor of g. Spaces of this
type include various interesting classes, namely gradient Ricci solitons,
m-quasi Einst... hiện toàn bộ
Galois module structure of the units modulo $$p^m$$ of cyclic extensions of degree $$p^n$$manuscripta mathematica - Tập 171 - Trang 295-345 - 2022
Ján Mináč, Andrew Schultz, John Swallow
Let p be prime, and $$n,m \in \mathbb {N}$$ . When K/F is a cyclic extension of
degree $$p^n$$ , we determine the $$\mathbb {Z}/p^m\mathbb {Z}[\text
{Gal}(K/F)]$$ -module structure of $$K^\times /K^{\times p^m}$$ . With at most
one exception, each indecomposable summand is cyclic and free over some quotient
group of $$\text {Gal}(K/F)$$ . For fixed values of m and n, there are only
finitely many p... hiện toàn bộ
Adjunctions in monoidal categoriesmanuscripta mathematica - Tập 26 - Trang 123-139 - 1978
Harald Lindner
We consider the notion of an adjunction in a monoidal category. Whereas most of
the theory of adjunctions in 2-categories carries over to this case, there are
also some new phenomena specific to the monoidal case. The applications include
some formal aspects in the Spanier-Whitehead duality of spectra as well as
bilinear forms on modules.
Deux remarques sur les flots riemanniensmanuscripta mathematica - Tập 51 - Trang 145-161 - 1985
Pierre Molino, Vlad Sergiescu
Let M be a connected oriented closed n-manifold. A riemannian flow
$$\mathfrak{F}$$ on M is an oriented one dimensional foliation which admits a
bundle-like metric. We give a caracterization of isometric flows as riemannian
flows whose basic cohomology H b n−1 (M, $$\mathfrak{F}$$ ) is non trivial in
degree (n−1). A second caracterization involves the triviality of the central
sheaf. We show also ... hiện toàn bộ