11 papers · 1 filter
Notes on Algebraic Cycles and Homotopy theory
Wenchuan Hu
We show that a conjecture by Lawson holds, that is, the inclusion from the Chow variety of all effective algebraic p-cycles of degree d in n-dimensional projective s…
Algebraic Cycles of a Fixed Degree
Wenchuan Hu
In this paper, the homotopy groups of Chow variety of effective -cycles of degree is proved to be stable in the sense that or increases. We also obtai…
A map from Lawson homology to Deligne Cohomology
Wenchuan Hu
A natural map from Lawson homology to Deligne cohomology groups for smooth complex projective varieties is constructed by using the Harvey-Lawson spark complexes. We also compare t…
The Generalized Bloch Conjecture for the quotient of certain Calabi-Yau varieties
Wenchuan Hu
In this paper, the generalized Bloch Conjecture on zero cycles for the quotient of certain complete intersections with trivial canonical bundle is proved to hold. As an application…
The Lawson-Yau Formula and its generalization
Wenchuan Hu
The Euler characteristic of Chow varieties of algebraic cycles of a given degree in complex projective spaces was computed by Blaine Lawson and Stephen Yau by using holomorphic sym…
Generalized Abel-Jacobi map on Lawson homology
Wenchuan Hu
We construct an Abel-Jacobi type map on the homologically trivial part of Lawson homology groups. It generalizes the Abel-Jacobi map constructed by Griffiths. By using a result of…