Results 71 to 80 of about 45,480 (208)
The quasisymmetric flag variety: A toric complex on noncrossing partitions
We develop the geometric theory of equivariant quasisymmetry via a new “quasisymmetric flag variety.” This is a toric complex in the flag variety whose fixed point set is the set of (algebraic) noncrossing partitions, and whose cohomology ring is the ...
Nantel Bergeron +4 more
doaj +1 more source
Generalizations of quasielliptic curves [PDF]
We generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves having infinitesimal symmetries, defined in all characteristics and having ...
Cesar Hilario, Stefan Schröer
doaj +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Equivariant Differential Cohomology [PDF]
The construction of characteristic classes via the curvature form of a connection is one motivation for the refinement of integral cohomology by de Rham cocycles -- known as differential cohomology.
Kübel, Andreas
core +2 more sources
Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an étale analogue of well-known formulas for Zariski sheaves generalizing the classical Chevalley-Weil formula.
Koeck, Bernhard
core +1 more source
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Two examples of Diff^+S^1-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented.
Roberto Ferreiro Pérez +1 more
doaj +1 more source
Grothendieck lines in 3d N $$ \mathcal{N} $$ = 2 SQCD and the quantum K-theory of the Grassmannian
We revisit the 3d GLSM computation of the equivariant quantum K-theory ring of the complex Grassmannian from the perspective of line defects.
Cyril Closset, Osama Khlaif
doaj +1 more source
Inducing Coverings on Hilbert Schemes
ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
wiley +1 more source
Equivariant cohomology of differentiable stacks
We construct and analyse models of equivariant cohomology for differentiable stacks with Lie group actions extending classical results for smooth manifolds due to Borel, Cartan and Getzler.
Frank Neumann (386001) +1 more
core +6 more sources
Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley +1 more source

