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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
0
votes
Accepted
Galois representations associated to the algebraic cycles and transcendental cycles of K3 su...
This is essentially the Tate conjecture for K3 surfaces which says that the image of the NS lattice tensored with $\mathbb{Q}_l(1)$ in the etale cohomology $H^2_{et}(X, \mathbb{Q}_l(1))$ under the cyc …
0
votes
Siegel modular forms as sections of line bundles over the period domain
A reference for g=1 where this geometric picture is carefully developed is Deligne's "Formes modulaires et representation l-adique." The sought after line bundle is the square of the hodge line bundle …
3
votes
Books building up to the Gross-Zagier formula
Section 6 of Zagier's chapter in 1-2-3 of modular forms might be of use for you