Results 1 to 10 of about 27 (27)
Chow groups and L-derivatives of automorphic motives for unitary groups, II.
Forum of Mathematics, Pi, 2022 In this article, we improve our main results from [LL21] in two directions: First, we allow ramified places in the CM extension $E/F$ at which we consider representations that are spherical with respect to a certain special maximal compact subgroup, by ...
Chao Li, Yifeng Liu
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On Bloch’s map for torsion cycles over non-closed fields
Forum of Mathematics, Sigma, 2023 We generalize Bloch’s map on torsion cycles from algebraically closed fields to arbitrary fields. While Bloch’s map over algebraically closed fields is injective for zero-cycles and for cycles of codimension at most two, we show that the generalization ...
Theodosis Alexandrou, Stefan Schreieder
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The equivalence of several conjectures on independence of $\ell$ [PDF]
Épijournal de Géométrie Algébrique, 2020 We consider several conjectures on the independence of $\ell$ of the \'etale cohomology of (singular, open) varieties over $\bar{\mathbf F}_p$. The main result is that independence of $\ell$ of the Betti numbers $h^i_{\text{c}}(X,\mathbf Q_\ell)$ for ...
Remy van Dobben de Bruyn
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A FILTRATION ON EQUIVARIANT BOREL–MOORE HOMOLOGY
Forum of Mathematics, Sigma, 2019 Let $G/H$ be a homogeneous variety and let $X$ be a $G$-equivariant embedding of $G/H$ such that the number of $G$-orbits in $X$ is finite. We show that the equivariant Borel–Moore homology of $X$ has a filtration with associated graded module the direct
ARAM BINGHAM +2 more
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THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$
Forum of Mathematics, Sigma, 2016 The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
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CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
Forum of Mathematics, Sigma, 2014 We compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties.
BURT TOTARO
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The integral Chow ring of $\mathcal {M}_{1,n}$ for $n=3,\dots ,10$
Forum of Mathematics, SigmaWe compute the integral Chow ring of the moduli stack of smooth elliptic curves with n marked points for $3\leq n\leq 10$ .
Martin Bishop
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Forum of Mathematics, SigmaWe compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal orthogonal Grassmannians and to compute a Morava K-theory analogue of the ...
Nikita Geldhauser +3 more
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Forum of Mathematics, SigmaWe prove that the cohomology rings of the moduli space $M_{d,\chi }$ of one-dimensional sheaves on the projective plane are not isomorphic for general different choices of the Euler characteristics.
Woonam Lim, Miguel Moreira, Weite Pi
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Wall-crossing integral chow rings of ${\overline {\mathcal {M}}}_{1,n\leq 4}$
Forum of Mathematics, SigmaWe compute the integral Chow rings of $\overline {\mathcal {M}}_{1,n}$ for $n=3,4$ . The alternative compactifications introduced by Smyth – and studied further by Lekili and Polishchuk – present each of these stacks as a sequence of ...
Luca Battistella, Andrea Di Lorenzo
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