English

Instanton bundles on two Fano threefolds of index $1$

Algebraic Geometry 2021-09-20 v1

Abstract

We deal with instanton bundles on the product P1×P2{\mathbb P}^1\times{\mathbb P}^2 and the blow up of P3{\mathbb P}^3 along a line. We give an explicit construction leading to instanton bundles. Moreover, we also show that they correspond to smooth points of a unique irreducible component of their moduli space.

Keywords

Cite

@article{arxiv.2004.03415,
  title  = {Instanton bundles on two Fano threefolds of index $1$},
  author = {Gianfranco Casnati and Ozhan Genc},
  journal= {arXiv preprint arXiv:2004.03415},
  year   = {2021}
}

Comments

25 pages. The final version will appear in Forum Mathematicum. arXiv admin note: text overlap with arXiv:1909.10281