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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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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 …
shehryar sikander's user avatar
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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 …
shehryar sikander's user avatar
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
shehryar sikander's user avatar