Conference abstracts
Session S02 - Commutative Algebra and Algebraic Geometry
No date set
Orthogonal instanton bundles of higher rank on $\mathbb{P}^3$
Aline Vilela Andrade
University of Campinas, Brazil - aline.andrade@ime.unicamp.br
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 $\mathbb{P}^3$.
Joint work with Simone Marchesi (University of Campinas, Brazil).