Proves generalized Hodge, Mumford-Tate and Tate conjectures for GM varieties, computes most Chow groups, and establishes motive isomorphisms for partners and duals.
Debarre, Gushel--Mukai varieties
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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.
- The Lichtenbaum-Quillen dimension of complex varieties