Survey of progress verifying Hodge and Tate conjectures for moduli spaces of curves via inductive boundary stratification.
Markman,Secant sheaves and Weil classes on abelian varieties, preprint arXiv:2509.23403,
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On the Hodge and Tate conjectures for moduli spaces of curves
Survey of progress verifying Hodge and Tate conjectures for moduli spaces of curves via inductive boundary stratification.