arXiv subjects

C. Anghel

Publications and source records attributed to C. Anghel.

2 recordsLinked to original sources

arXiv2015

On large families of bundles over algebraic surfaces

The aim of this note is to construct sequences of vector bundles with unbounded rank and discriminant on an arbitrary algebraic surface. This problem, on principally polarized abelian varieties with cyclic Neron-Severi group generated by the polarization, was considered by Nakashima in connection with the Douglas-Reinbacher-Yau conjecture on the Strong Bogomolov Inequality. In particular we show that on any surface, the Strong Bogomolov Inequality $SBI_l$ is false for all $l>4$.

math.AG↗

arXiv2001

Extensions of Instantons

In this paper, using the Atiyah-Ward equivalence and a theorem of Hitchin, one makes to correspond to certain bundles on the projective space, which are extensions of instanton bundles (in particular, these new bundles may have the first Chern class not congruent to 0 modulo the rank), bundles on the grassmanian Gr(2,4) or on the sphere S4, equiped with certain connections constructed from data associated to the bundle. Monads for these extensions are described.

math.AG↗