Authors define Lichtenbaum-Quillen dimension of complex varieties from K-theory stabilization and apply it to rationality obstructions and new cases of the integral Hodge conjecture.
Debarre, Gushel--Mukai varieties
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AG 2verdicts
UNVERDICTED 2representative citing papers
Proves generalized Hodge, Mumford-Tate and Tate conjectures for GM varieties, computes most Chow groups, and establishes motive isomorphisms for partners and duals.
citing papers explorer
-
The Lichtenbaum-Quillen dimension of complex varieties
Authors define Lichtenbaum-Quillen dimension of complex varieties from K-theory stabilization and apply it to rationality obstructions and new cases of the integral Hodge conjecture.
-
Algebraic cycles on Gushel-Mukai varieties
Proves generalized Hodge, Mumford-Tate and Tate conjectures for GM varieties, computes most Chow groups, and establishes motive isomorphisms for partners and duals.