Conference abstracts

Session S02 - Commutative Algebra and Algebraic Geometry

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

Aline Vilela Andrade

University of Campinas, Brazil   -

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).

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