Results 1 to 10 of about 572 (23)
Motivic Decomposition of Projective Pseudo-homogeneous Varieties [PDF]
, 2016 Let $G$ be a semi-simple algebraic group over a perfect field $k$. A lot of progress has been made recently in computing the Chow motives of projective $G$-homogenous varieties.
Srinivasan, Srimathy
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Algebraic rational cells and equivariant intersection theory [PDF]
, 2015 We provide a notion of algebraic rational cell with applications to intersection theory on singular varieties with torus action. Based on this notion, we study the algebraic analogue of $\mathbb{Q}$-filtrable varieties: algebraic varieties where a torus ...
Gonzales, Richard
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Norms in motivic homotopy theory
, 2020 If $f:S' \to S$ is a finite locally free morphism of schemes, we construct a symmetric monoidal "norm" functor $f_\otimes: \mathcal H_*(S') \to\mathcal H_*(S)$, where $\mathcal H_*(S)$ is the pointed unstable motivic homotopy category over $S$. If $f$ is
Bachmann, Tom, Hoyois, Marc
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Algebraic cycles and EPW cubes
, 2017 Let $X$ be a hyperk\"ahler variety with an anti-symplectic involution $\iota$. According to Beauville's conjectural "splitting property", the Chow groups of $X$ should split in a finite number of pieces such that the Chow ring has a bigrading.
Laterveer, Robert
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J-invariant of linear algebraic groups [PDF]
, 2007 Let G be a linear algebraic group over a field F and X be a projective homogeneous G-variety such that G splits over the function field of X. In the present paper we introduce an invariant of G called J-invariant which characterizes the motivic behaviour
Petrov, Victor +2 more
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A1-contractibility of Koras-Russell threefolds [PDF]
, 2015 Finite suspensions of Koras-Russell threefolds are contractible in A1-homotopy theory.Comment: Final version, to appear in Algebraic ...
Hoyois, Marc +2 more
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On the interior motive of certain Shimura varieties: the case of Picard surfaces
, 2015 The purpose of this article is to construct a Hecke-equivariant Chow motive whose realizations equal interior (or intersection) cohomology of Picard surfaces with regular algebraic coefficients.
Wildeshaus, J.
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Characteristic classes of Hilbert schemes of points via symmetric products
, 2012 We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of points for a smooth quasi-projective variety of arbitrary pure dimension. This
Baum +18 more
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Moduli spaces of sheaves on K3 surfaces and Galois representations [PDF]
, 2019 We consider two K3 surfaces defined over an arbitrary field, together with a smooth proper moduli space of stable sheaves on each. When the moduli spaces have the same dimension, we prove that if the \'etale cohomology groups (with Q_ell coefficients) of
Frei, Sarah
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Tautological and non-tautological cohomology of the moduli space of curves [PDF]
, 2011 After a short exposition of the basic properties of the tautological ring of the moduli space of genus g Deligne-Mumford stable curves with n markings, we explain three methods of detecting non-tautological classes in cohomology.
Faber, C., Pandharipande, R.
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