15 citations · 19 across the 4 of their papers we have counts for
4 papers
Vector bundles on projective varieties and representations of quivers
Marcos Jardim, Daniela M. Prata
We present equivalences between certain categories of vector bundles on projective varieties, namely cokernel bundles, Steiner bundles, syzygy bundles, and monads, and full subcate…
Simplicity and exceptionality of syzygy bundles over P^n
Simone Marchesi, Daniela Moura Prata
In this work we will prove results that ensure the simplicity and the exceptionality of vector bundles which are defined by the splitting of pure resolutions. We will call such obj…
Pure resolutions of vector bundles on complex projective spaces
Marcos Jardim, Daniela Moura Prata
We prove three results on pure resolutions of vector bundles on projective spaces. First, we show that there are simple vector bundles of rank n on Pn with arbitrary homological di…
Holomorphic bundles for higher dimensional gauge theory
Marcos B. Jardim, Grégoire Menet, Daniela M. Prata +1
Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain noncompact folds, called building blocks, satisfying a stabi…