4 citations · 9 across the 6 of their papers we have counts for
7 papers
Rost nilpotence and étale motivic cohomology
Andreas Rosenschon, Anand Sawant
A smooth projective scheme over a field is said to satisfy the Rost nilpotence principle if any endomorphism of in the category of Chow motives that vanishes on an exte…
Verdier hypercovering theorem for motivic spectra
Gereon Quick, Andreas Rosenschon
We prove a Verdier Hypercovering Theorem for cohomology theories arising from motivic spectra. This allows us to construct for smooth quasi-projective complex varieties a natural m…
The Neron-Severi group of a proper seminormal complex variety
L. Barbieri-Viale, A. Rosenschon, V. Srinivas
We prove a Lefschetz (1,1)-Theorem for proper seminormal varieties over the complex numbers. The proof is a non-trivial geometric argument applied to the isogeny class of the Lefsc…
Nonvanishing of External Products for Higher Chow Groups
Andreas Rosenschon, Morihiko Saito
Consider an external product of a higher cycle and a usual cycle which is algebraically equivalent to zero. Assume there exists an algebraically closed subfield k such that the hig…
Cycle Map for Strictly Decomposable Cycles
Andreas Rosenschon, Morihiko Saito
We introduce a class of cycles, called nondegenerate, strictly decomposable cycles, and show that the image of each cycle in this class under the refined cycle map to an extension…
Deligne's Conjecture on 1-Motives
Luca Barbieri-Viale, Andreas Rosenschon, Morihiko Saito
We reformulate a conjecture of Deligne on 1-motives by using the integral weight filtration of Gillet and Soulé on cohomology, and prove it. This implies the original conjecture up…