8 papers
Robust controlled-Z gate for Rydberg atoms based on level-crossing-free echoing rapid adiabatic passage
Yichi Zhang, Zhenqi Bai, Xu Zhao +3
We propose a controlled-Z gate scheme for Rydberg atoms based on level-crossing-free echoing rapid adiabatic population transfer. We design antisymmetric Rabi frequency pulses and…
Variation on a theme of Beauville-Voisin
Robert Laterveer
The Beauville-Voisin conjecture is about the Chow ring of hyper-Kähler varieties. We consider a variant version taking place in the ring of algebraic cycles modulo algebraic equiv…
A strong version of the Beauville-Voisin conjecture for certain hyper-Kähler fourfolds
Robert Laterveer
A strong version of the Beauville-Voisin conjecture asserts that for hyper-Kähler varieties, the subring of the Chow ring generated by divisors, Chern classes and Lagrangian const…
The Beauville-Voisin conjecture for double EPW sextics
Robert Laterveer
We prove that the Beauville-Voisin conjecture is true for any double EPW sextic, i.e. the subalgebra of the Chow ring generated by divisors and Chern classes of the tangent bundle…
Questions on the Chow ring of complete intersections
Robert Laterveer
We state several questions, and prove some partial results, about the Chow ring of complete intersections in projective space. For one thing, we prove that if is a…
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer +1
We show that the hyper-Kähler varieties of OG10-type constructed by Laza-Saccà -Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general res…