This thesis is an investigation of the moduli spaces of instanton bundles on the Fano
threefold $ Y_5 $(a linear section of $\mathbb {G} r (2, 5) $). It contains new proofs of …

We describe new components of the Gieseker–Maruyama moduli scheme M (n) M (n) of
semistable rank 2 sheaves E on P^ 3 P 3 with c_1 (E)= 0 c 1 (E)= 0, c_2 (E)= nc 2 (E)= n and …

We consider an analogue of the notion of instanton bundle on the projective 3-space,
consisting of a class of rank-2 vector bundles defined on smooth Fano threefolds X of Picard …

Let ${\mathcal I}(n) $ denote the moduli space of rank $2 $ instanton bundles of charge $ n $
on ${\mathbb P}^ 3$. We know from several authors that ${\mathcal I}(n) $ is an irreducible …

We propose a general definition of mathematical instanton bundle with given charge on any
Fano threefold extending the classical definitions on P3 and on Fano threefold with cyclic …

We study the irreducible components of the moduli space of instanton sheaves on ℙ 3, that
is, μ-semistable rank 2 torsion-free sheaves E with c 1 (E)= c 3 (E)= 0 satisfying h 1 (E (− 2)) …

Let M be a simple hyperkähler manifold. Kuga-Satake construction gives an embedding of H
2 (M, C) into the second cohomology of a torus, compatible with the Hodge structure. We …

Instanton bundles on $\mathbb {P}^ 3$ have been at the core of the research in Algebraic
Geometry during the last thirty years. Motivated by the recent extension of their definition to …

In this article we study the Gieseker–Maruyama moduli spaces ℬ (e, n) of stable rank 2
algebraic vector bundles with Chern classes c 1= e∈{− 1, 0} and c 2= n≥ 1 on the …

We propose a notion of instanton bundle (called H-instanton bundle) on any projective
variety of dimension three polarized by a very ample divisor H, that naturally generalizes the …