Introduction Extended Poincare algebras The homogeneous quaternionic manifold $(M, Q)$ associated to an extended Poincare algebra Bundles associated to the quaternionic manifold $(M, Q)$ Homogeneous quaternionic supermanifolds associated to superextended Poincare algebras Append…
Using a codimension-1 algebraic cycle obtained from the Poincaré line bundle, Beauville defined the Fourier transform on the Chow groups of an abelian variety A and showed that the Fourier transform induces a decomposition of the Chow ring CH*(A). By using a codimension-2 algebr…
Using a codimension-1 algebraic cycle obtained from the Poincaré line bundle, Beauville defined the Fourier transform on the Chow groups of an abelian variety A and showed that the Fourier transform induces a decomposition of the Chow ring \mathrm{CH}^*(A). By using a codimensio…
We define and construct mixed Hodge structures on real schematic homotopy types of complex quasi-projective varieties, giving mixed Hodge structures on their homotopy groups and pro-algebraic fundamental groups. We also show that these split on tensoring with the ring R[x] equip…
This monograph is an outgrowth of lectures given by the authors at Princeton University during the academic year 1949-1950, and it is concerned with finite Riemann surfaces- that is to say with Riemann surfaces of finite genus which have a finite number of non-degenerate boundar…
