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pro vyhledávání: '"14c25"'
Autor:
Sreekantan, Ramesh
We construct motivic cohomology cycles in the group $H^3_{\mathcal M}(Z,{\mathbb Q}(2))$ where $Z$ is a K3 surface obtained as a double cover of a del Pezzo surface $X$ branched at a curve in $|-2K_X|$. The construction uses (-1) curves on the del Pe
Externí odkaz:
http://arxiv.org/abs/2411.03704
Autor:
Cadoret, Anna, Pirutka, Alena
Assuming natural variational realization conjectures, we give uniform bounds for the obstruction to the integral Tate conjecture in 1-dimensional families of algebraic varieties over an infinite finitely generated field.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2410.21010
Autor:
Rosas-Soto, Ivan
In the present article, we study the integral aspects of the Fourier transform of an abelian variety $A$ over a field $k$, using \'etale motivic cohomology, following the ideas and theory given by Moonen, Polishchuk and later by Beckman and de Gaay F
Externí odkaz:
http://arxiv.org/abs/2410.21094
In this paper we study the birational geometry of $X$, a projective space $\mathbb{P}^n$ blown up at $s$ general points. We obtain a characterization of a special class of subvarieties, which we call Weyl $r$-planes, each of them being swept out by o
Externí odkaz:
http://arxiv.org/abs/2410.18008
We define two versions of the archimedean height pairing between certain Bloch higher cycles. Both pairings generalize the archimedean height pairing between ordinary cycles. To do this, we introduce the notion of framed mixed Hodge structures and de
Externí odkaz:
http://arxiv.org/abs/2410.17167
Autor:
Lilienfeldt, David T. -B. G.
We consider an algebraic cycle on the triple product of the prime level modular curve $X_0(p)$ with origins in work of Darmon and Rotger. It is defined over the quadratic extension of $\mathbb{Q}$ ramified only at $p$ whose associated quadratic chara
Externí odkaz:
http://arxiv.org/abs/2410.06063
Autor:
Bolognesi, Michele, Laterveer, Robert
Let $X$ be a double EPW sextic, and $\iota$ its anti-symplectic involution. We relate the $\iota$-anti-invariant part of the Chow group of zero-cycles of $X$ with Voisin's rational orbit filtration. For a general double EPW sextic $X$, we also relate
Externí odkaz:
http://arxiv.org/abs/2410.16289
Autor:
Berndt, Rolf
Kudla conjectured that certain Eisenstein series contain important arithmetical and geometric information. The following note describes a certain aspect of this general picture in the special case concerning the orthogonal group $\textrm{SO}(3,2).$
Externí odkaz:
http://arxiv.org/abs/2409.18627
Autor:
Ciurca, Tudor
We develop a theory of Prym varieties and cubic threefolds over fields of characteristic $2$. As an application, we prove that smooth cubic threefolds are non-rational over an arbitrary field and solve a conjecture of Deligne regarding arithmetic Tor
Externí odkaz:
http://arxiv.org/abs/2409.15580
Autor:
Lange, Jan, Schreieder, Stefan
We show that a very general hypersurface of degree d at least 4 and dimension at most $(d+1)2^{d-4}$ over a field of characteristic different from 2 does not admit a decomposition of the diagonal; hence, it is neither stably nor retract rational, nor
Externí odkaz:
http://arxiv.org/abs/2409.12834