Rank-two reflexive sheaves on the projective space with second Chern class equal to four

Marcos Jardim; Alan Muniz

doi:10.1007/s00574-025-00451-w

paper

Rank-two reflexive sheaves on the projective space with second Chern class equal to four

arXiv:2312.05509 · doi:10.1007/s00574-025-00451-w

Abstract

We study rank-two reflexive sheaves on $P^{3}$ with $c_{2} = 4$ , expanding on previous results for $c_{2} \leq 3$ . We show that every spectrum not previously ruled out is realized. Moreover, moduli spaces are studied and described in detail for $c_{1} = - 1$ or $0$ and $c_{3} \geq 8$ .

Minor changes in exposition suggested by an anonymous referee. Comments are still very welcome!