Results 71 to 80 of about 45,480 (208)

The quasisymmetric flag variety: A toric complex on noncrossing partitions

open access: yesForum of Mathematics, Pi
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]

open access: yesÉpijournal de Géométrie Algébrique
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

open access: yesMathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.
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]

open access: yes, 2015
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

open access: yes, 2005
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

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
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

open access: yesJournal of High Energy Physics, 2023
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

open access: yesMathematische Nachrichten, Volume 299, Issue 8, Page 2177-2190, August 2026.
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

open access: yes, 2020
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

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
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

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