Instanton Bundles on the Blowup of the Projective 3-Space at a Point

Date

2021-10-01

Author

Coşkun, Emre
Malaspina, Francesco
Casnati, Gianfranco

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We propose a general definition of mathematical instanton bundle with given charge on any Fano threefold extending the classical definitions on P3 and on Fano threefold with cyclic Picard group. Then we deal with the case of the blowup of P3 at a point, giving an explicit construction of instanton bundles satisfying some important extra properties. Moreover, we show that they correspond to smooth points of a component of the moduli space.

URI

https://projecteuclid.org/journals/michigan-mathematical-journal/volume-70/issue-4/Instanton-Bundles-on-the-Blowup-of-the-Projective-3-Space/10.1307/mmj/1601625614.full
https://hdl.handle.net/11511/94313

Journal

Michigan Mathematical Journal

DOI

https://doi.org/10.1307/mmj/1601625614

Collections

Department of Mathematics, Article

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Citation Formats

E. Coşkun, F. Malaspina, and G. Casnati, “Instanton Bundles on the Blowup of the Projective 3-Space at a Point,” Michigan Mathematical Journal, vol. 70, no. 4, pp. 807–836, 2021, Accessed: 00, 2021. [Online]. Available: https://projecteuclid.org/journals/michigan-mathematical-journal/volume-70/issue-4/Instanton-Bundles-on-the-Blowup-of-the-Projective-3-Space/10.1307/mmj/1601625614.full.