48 citations · 399 across the 140 of their papers we have counts for
8 papers · 2 filters
Logarithmic co-Higgs bundles
Edoardo Ballico, Sukmoon Huh
In this article we introduce a notion of logarithmic co-Higgs sheaves associated to a simple normal crossing divisor on a projective manifold, and show their existence with nilpote…
Compactifications of Adjoint Orbits and their Hodge Diamonds
Edoardo Ballico, Brian Callander, Elizabeth Gasparim
A recent theorem of [GGSM1] showed that adjoint orbits of semisimple Lie algebras have the structure of symplectic Lefschetz fibrations. We investigate the behaviour of their fibre…
Finiteness of rational curves of degree 12 on a general quintic threefold
Edoardo Ballico, Claudio Fontanari
We prove the following statement, predicted by Clemens' conjecture: A generic quintic threefold contains only finitely many smooth rational curves of degree 12.
A note on co-Higgs bundles
Edoardo Ballico, Sukmoon Huh
We show that for any ample line bundle on a smooth complex projective variety with nonnegative Kodaira dimension, the semistability of co-Higgs bundles of implies the semistability…
-nilpotent co-Higgs structures
Edoardo Ballico, Sukmoon Huh
A co-Higgs sheaf is a pair of a torsion-free coherent sheaf and a global section of with the tangent bundle. We construc…
Typical and Admissible ranks over fields
Edoardo Ballico, Alessandra Bernardi
Let $X(\RR)$ be a geometrically connected variety defined over $\RR$ and such that the set of all its (also complex) points $X(\CC)$ is non-degenerate. We introduce the notion of \…