A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
A Criterion for Flatness of Hodge Bundles over Curves and Geometrie Applications.
A Grothendieck-Riemann-Roch Formula for Maps of Complex Manifolds.
A higher Albanese map for complex threefolds based on a construction by M. Green
We construct a higher Abel-Jacobi map for 0-cycles on complex threefolds and prove that it can be used to describe Mumford's pull-back of a differential form, and that its image is infinite-dimensional in many cases. However, making a certain assumption, we show that it is not always injective.
A Hodge type decomposition for spinor valued forms
A Noether-Lefschetz theorem for vector bundles.
A note on indecomposable motivic cohomology classes.
A remark on Hodge cycles on moduli spaces of rank 2 bundles over curves.
A result on the integral chow ring of a generic principally polarized complex abelian variety of dimension four
Abelian varieties associated to certain K3 surfaces
Albanese varieties with modulus and Hodge theory
Let be a proper smooth variety over a field of characteristic and an effective divisor on with multiplicity. We introduce a generalized Albanese variety Alb of of modulus , as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For we give a Hodge theoretic description.
Algebraic cycles and Hodge theoretic connectivity.
Algebraic cycles and Hodge theory on generalized Reye congruences
Algebraic Cycles on Abelian Varieties of Fermat Type.
Algebraic Cycles on Certain Desingularized Nodal Hypersurfaces.
Algebraic Cycles on Compact Shimura Surface.
Algebraic geometry and local differential geometry
Algebraic groups associated with abelian varieties.
Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).
An effective Matsusaka big theorem