Add to ORKGWe survey the history of the Tate conjecture on algebraic cycles. The conjecture is closely related with other big problems in arithmetic and algebraic geometry, including the Hodge and Birch–Swinnerton-Dyer conjectures. We conclude by discussing the recent proof of the Tate conjecture for K3 surfaces over finite fields
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge con...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
19 pages, comments welcomeInternational audienceArtin's conjecture states that supersingular K3 surf...
In this mostly expository note, we explain a proof of Tate's two conjectures [Tat65] for algebraic c...
Given a finite field k of characteristic p ≥ 5, we show that the Tate conjecture holds for K3 surfac...
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve over a finite field. We stu...
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve overa finite field. We stud...
We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satak...
séminaire Bourbaki, mars 2014, exposé 1081International audienceWe report on recent results concerni...
Contains fulltext : 163251.pdf (publisher's version ) (Open Access
AbstractThe Hodge conjecture implies decidability of the question whether a given topological cycle ...
30 pages, comments welcomeInternational audienceWe discuss various results and questions around the ...
30 pages, comments welcomeInternational audienceWe discuss various results and questions around the ...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge con...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
19 pages, comments welcomeInternational audienceArtin's conjecture states that supersingular K3 surf...
In this mostly expository note, we explain a proof of Tate's two conjectures [Tat65] for algebraic c...
Given a finite field k of characteristic p ≥ 5, we show that the Tate conjecture holds for K3 surfac...
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve over a finite field. We stu...
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve overa finite field. We stud...
We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satak...
séminaire Bourbaki, mars 2014, exposé 1081International audienceWe report on recent results concerni...
Contains fulltext : 163251.pdf (publisher's version ) (Open Access
AbstractThe Hodge conjecture implies decidability of the question whether a given topological cycle ...
30 pages, comments welcomeInternational audienceWe discuss various results and questions around the ...
30 pages, comments welcomeInternational audienceWe discuss various results and questions around the ...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...
We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge con...
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain on...