We study instanton bundles on three-dimensional quadrics, paying special attention to the family of ’t Hooft bundles. We give explicit families of instanton bundles which are not ’t Hooft. In the last section we propose a generalization of an instanton bundle on odd dimensional hyperquadrics (Formula Presented) for arbitrary n and we state several open questions.

An account of instanton bundles on hyperquadrics / L., Costa; R. M., Miro-Roig; PONS LLOPIS, JUAN FRANCISCO (TRENDS IN THE HISTORY OF SCIENCE). - In: From Classical to Modern Algebraic GeometryGEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND : Springer, 2016. - ISBN 978-3-319-32992-5. - pp. 409-428 [10.1007/978-3-319-32994-9_10]

An account of instanton bundles on hyperquadrics

Juan Francisco Pons Llopis
2016

Abstract

We study instanton bundles on three-dimensional quadrics, paying special attention to the family of ’t Hooft bundles. We give explicit families of instanton bundles which are not ’t Hooft. In the last section we propose a generalization of an instanton bundle on odd dimensional hyperquadrics (Formula Presented) for arbitrary n and we state several open questions.
978-3-319-32992-5
978-3-319-32994-9
From Classical to Modern Algebraic Geometry
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2831654