Results 11 to 20 of about 793 (81)
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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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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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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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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Zeta functions of regular arithmetic schemes at s=0 [PDF]
, 2013 Lichtenbaum conjectured the existence of a Weil-\'etale cohomology in order to describe the vanishing order and the special value of the Zeta function of an arithmetic scheme $\mathcal{X}$ at $s=0$ in terms of Euler-Poincar\'e characteristics.
Morin, Baptiste
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On the Chow groups of quadratic Grassmannians
Documenta Mathematica, 2005 In this text we get a description of the Chow-ring (mod- ulo 2) of the Grassmanian of the middle-dimensional planes on arbi- trary projective quadric. This is only a first step in the computation of the, so-called, generic discrete invariant of quadrics.
A. Vishik
semanticscholar +1 more source
On a conjectural filtration on the Chow groups of an algebraic variety
, 1993 In this paper we describe a conjectural filtration on the Chow groups of a projective, smooth variety. This filtration is suggested by, and based upon, Grothendieck's theory of motives provided one uses the so-called category of Chow motives.
J. Murre
semanticscholar +1 more source
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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Sustainable Materials Design With Multi‐Modal Artificial Intelligence
Advanced Science, EarlyView.Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu +8 more
wiley +1 more source
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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