34 citations · 112 across the 19 of their papers we have counts for
15 papers · 1 filter
Hodge Numbers of Arbitrary Sections from Linear Sections
Herbert Clemens
Let be a projective submanifold of the total space of the inverse of a very ample line bundle over a projective manifold . Any section of $L^{-1}\rig…
Incidence and Abel-Jacobi equivalence
Mirel Caibar, C. Herbert Clemens
For an algebraic (n-1)-cycle Z on a complex projective (2n-1)-manifold X, P. Griffiths conjectured that, if Z is algebraically equivalent to zero and if the incidence divisor of Z…
Topological versions of Abel-Jacobi, the height pairing, and the Poincaré bundle
Mirel Caibar, Herbert Clemens
We extend to the topological setting the classical constructions of the Abel-Jacobi mapping on homologically trivial algebraic cycles and the height pairing between two such cycles…
An analogue of Abel's theorem
Herbert Clemens
This work makes a parallel construction for curves on threefolds to a ``current-theoretic'' proof of Abel's theorem giving the rational equivalence of divisors P and Q on a Riemann…
Bounding the genus of subvarieties of generic hypersurfaces from below
Herbert Clemens
A second-order invariant of C. Voisin gives a powerful method for bounding from below the geometric genus of a k-dimensional subvariety of a degree-d hypersurface in complex projec…
Cohomology and Obstructions II: Curves on K-trivial threefolds
Herbert Clemens
On a threefold with trivial canonical bundle, Kuranishi theory gives an algebro-geometry construction of the (local analytic) Hilbert scheme of curves at a smooth holomorphic curve…