Results 81 to 90 of about 138,760 (231)
On Schubert calculus in elliptic cohomology [PDF]
An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
doaj +1 more source
Continuity of HYM connections with respect to metric variations
Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley +1 more source
Moduli of finite flat torsors over nodal curves
Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley +1 more source
Equivariant geometry of singular cubic threefolds, II
Abstract We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.
Ivan Cheltsov+3 more
wiley +1 more source
Quasi-Elliptic Cohomology of 4-Spheres
It is a famous hypothesis that orbifold D-brane charges in string theory can be classified in twisted equivariant K-theory. Recently, it is believed that the hypothesis has a non-trivial lift to M-branes classified in twisted real equivariant 4 ...
Zhen Huan
doaj +1 more source
Deformations of Yang-Baxter operators via n-Lie algebra cohomology
We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
doaj
Preservation for generation along the structure morphism of coherent algebras over a scheme
Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source
(Co)homology of triassociative algebras
We study homology and cohomology of triassociative algebras with nontrivial coefficients. The cohomology theory is applied to study algebraic deformations of triassociative algebras.
Donald Yau
doaj +1 more source