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What is Tate Conjecture for GM Varieties in p ≥ 5 about?

The paper discusses the Tate conjecture for even-dimensional Gushel–Mukai varieties in characteristic p ≥ 5, focusing on dimensions 4 and 6. The authors establish the conjecture for these varieties over finitely generated fields, employing methods similar to those used for K3 surfaces. Key results include proving the absence of nonzero global vector fields in GM sixfolds and reducing the Tate conjecture for GM fourfolds to the case of GM sixfolds.

Author

rahul basu

Language

EN