Compactifications of C3 with reducible boundary divisor.
On the non-triviality of the Griffith group.
Syzygies and the Abel-Jacobi map for cyclic coverings.
Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety
Algebraic cycles on certain Calabi-Yau threefolds.
Differential Equations associated to Families of Algebraic Cycles
We develop a theory of differential equations associated to families of algebraic cycles in higher Chow groups (, motivic cohomology groups). This formalism is related to inhomogenous Picard–Fuchs type differential equations. For a families of K3 surfaces the corresponding non–linear ODE turns out to be similar to Chazy’s equation.
Chow-Künneth decomposition for some moduli spaces.
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