Conference abstracts

Session S02 - Commutative Algebra and Algebraic Geometry

No date set

## Orthogonal instanton bundles of higher rank on $\mathbb{P}^3$

In this work we provide a bijection between equivalence classes of orthogonal instanton bundles over $\mathbb{P}^3$ and symmetric forms. Using such correspondence, we prove the non-existence of orthogonal instanton bundles on $\mathbb{P}^3$, with second Chern class equals to one or two, and we also provide examples of orthogonal instanton bundles of second Chern classes three and four on $\mathbb{P}^3$.