On rank 3 instanton bundles on

AV Andrade, DR Santiago, DD Silva… - arXiv preprint arXiv …, 2023 - arxiv.org
We investigate rank $3 $ instanton vector bundles on $\mathbb {P}^ 3$ of charge $ n $ and
its correspondence with rational curves of degree $ n+ 3$. For $ n= 2$ we present a …

On rank 3 instanton bundles on P 3 P^3

AV Andrade, DR Santiago, DD Silva… - Mathematische … - Wiley Online Library
We investigate rank 3 instanton vector bundles on P 3 P^3 of charge nn and its
correspondence with rational curves of degree n+ 3 n+3. For n= 2 n=2, we present a …

Torsion free instanton sheaves on the blow-up of Pn at a point

AA Henni - Journal of Geometry and Physics, 2023 - Elsevier
We define the analogue of instanton sheaves on the blow-up P n˜ of the n-dimensional
projective space at a point. We choose an appropriate polarisation on P n˜ and construct …

[HTML][HTML] Deformation theory of orthogonal and symplectic sheaves

E Franco - Journal of Geometry and Physics, 2023 - Elsevier
We show that the deformation functor of an orthogonal (resp. symplectic) sheaf over a
smooth projective scheme admits a miniversal pro-family, identifying its space of first-order …

Torsion free instanton sheaves on the blow-up of at a point

AA Henni - arXiv preprint arXiv:2005.11291, 2020 - arxiv.org
We consider an extension of the instanton bundles definition, given by Casnati-Coskun-
Genk-Malaspina, for Fano threefolds, in order to include non locally-free ones on the blow …