Log intermediate Jacobians

Mixed Intermediate Jacobians

Delta robot: inverse, direct, and intermediate Jacobians

In the context of a parallel manipulator, inverse and direct Jacobian matrices are known to contain information which helps us identify some of the singular configurations. In this article, we employ kinematic analysis for the Delta robot to derive the velocity of the end-effector in terms of the angular joint velocities, thus yielding the Jacobian matrices. Setting their determinants to zero, ...

Dynamics of Special Points on Intermediate Jacobians

We prove some general density statements about the subgroup of invertible points on intermediate jacobians; namely those points in the Abel-Jacobi image of nullhomologous algebraic cycles on projective algebraic manifolds.

Intermediate Jacobians of Moduli Spaces Donu Arapura and Pramathanath Sastry

We work throughout over the complex numbers C, i.e. all schemes are over C and all maps of schemes are maps of C-schemes. A curve, unless otherwise stated, is a smooth complete curve. Points mean geometric points. We will, as is usual in such situations, toggle between the algebraic and analytic categories without warning. For a quasi-projective algebraic variety Y , the (mixed) Hodge structure...

Complex analytic Néron models for arbitrary families of intermediate Jacobians

Given a family of intermediate Jacobians (for a polarizable variation of integral Hodge structure of odd weight) on a Zariski-open subset of a complex manifold, we construct an analytic space that naturally extends the family. Its two main properties are: (a) the horizontal and holomorphic sections are precisely the admissible normal functions without singularities; (b) the graph of any admissi...