Results 1 to 10 of about 6,542 (89)
Equivariant compactifications of vector groups with high index [PDF]
, 2018 In this note, we classify smooth equivariant compactifications of $\mathbb{G}_a^n$ which are Fano manifolds with index $\geq n-2$.Comment: 10 pages.
Fu, Baohua, Montero, Pedro
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Equivariant virtual Betti numbers [PDF]
, 2006 We define a generalised Euler characteristic for arc-symmetric sets endowed with a group action. It coincides with equivariant homology for compact nonsingular sets, but is different in general. We lay emphasis on the particular case of $Z/2\Z$, and give
Fichou, Goulwen
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Integrators on homogeneous spaces: Isotropy choice and connections [PDF]
, 2016 We consider numerical integrators of ODEs on homogeneous spaces (spheres, affine spaces, hyperbolic spaces). Homogeneous spaces are equipped with a built-in symmetry. A numerical integrator respects this symmetry if it is equivariant.
Munthe-Kaas, Hans, Verdier, Olivier
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Hearing Delzant polytopes from the equivariant spectrum
, 2012 Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric K\"ahler metric g. Abreu asked whether the spectrum of the Laplace operator $\Delta_g$ on $\mathcal{C}^\infty(M)$ determines the moment polytope of M, and hence by Delzant'
Dryden, Emily B. +2 more
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Reduction of Vaisman structures in complex and quaternionic geometry
, 2005 We consider locally conformal Kaehler geometry as an equivariant (homothetic) Kaehler geometry: a locally conformal Kaehler manifold is, up to equivalence, a pair (K,\Gamma) where K is a Kaehler manifold and \Gamma a discrete Lie group of biholomorphic ...
Belgun +32 more
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On degeneracy loci of equivariant bi-vector fields on a smooth toric variety [PDF]
, 2019 We study equivariant bi-vector fields on a toric variety. We prove that, on a smooth toric variety of dimension $n$, the locus where the rank of an equivariant bi-vector field is $\leq 2k$ is not empty and has at least a component of dimension $\geq 2k+1$
Martinengo, Elena
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On K\"uchle manifolds with Picard number greater than 1
, 2015 We describe the geometry of K\"uchle varieties (i.e. Fano 4-folds of index 1 contained in the Grassmannians as zero loci of equivariant vector bundles) with Picard number greater than 1 and the structure of their derived categories.Comment: 10 pages, a ...
Kuznetsov, Alexander
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Learning SO(3) Equivariant Representations with Spherical CNNs
, 2018 We address the problem of 3D rotation equivariance in convolutional neural networks. 3D rotations have been a challenging nuisance in 3D classification tasks requiring higher capacity and extended data augmentation in order to tackle it. We model 3D data
A Frome +9 more
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Singularities and K-semistability
, 2010 In this paper we extend the notion of Futaki invariant to big and nef classes in such a way that it defines a continuous function on the \K\ cone up to the boundary. We apply this concept to prove that reduced normal crossing singularities are sufficient
Alberto Della Vedova +20 more
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Equivariant Cohomology of Certain Moduli of Weighted Pointed Rational Curves
, 2015 We determine the action of the product of symmetric groups on the cohomology of certain moduli of weighted pointed rational curves. The moduli spaces that we study are of stable rational curves with m+n marked points where the first m marked points are ...
Chaudhuri, Chitrabhanu
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