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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Vanishing of some algebraic cycles on powers of Shimura curves
志村曲线 幂 代数 循环消失
2023/4/27
For a smooth projective variety over a number field, the Beilinson—Bloch conjecture predicts that Chow groups of algebraic cycles modulo rational equivalence can be determined using cohomological data...
CUP PRODUCTS, THE HEISENBERG GROUP, AND CODIMENSION TWO ALGEBRAIC CYCLES
CUP PRODUCTS HEISENBERG GROUP
2015/12/10
We de ne higher categorical invariants (gerbes) of codimension two algebraic cycles and provide
a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety. This...
G-flux in F-theory and algebraic cycles
G-flux F-theory algebraic cycles High Energy Physics - Theory Algebraic Geometry
2011/10/10
Abstract: We construct explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to ...
Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves
Nontrivial algebraic cycles Jacobian varieties of some quotients of Fermat curves
2010/11/26
We obtain the trace map images of the values of certain harmonic vol-umes for some quotients of Fermat curves. These provide the algorithm showing that the algebraic cycles called by k-th Ceresa cycle...