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arXiv · 2312.05509

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

Marcos Jardim·Alan Muniz
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Abstract

We study rank-two reflexive sheaves on $\mathbb{P}^3$ with $c_2 =4$, expanding on previous results for $c_2\le3$. 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 $c_3\ge8$.

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Marcos Jardim, Alan Muniz. 2023-12-09. Rank-two reflexive sheaves on the projective space with second Chern class equal to four. https://doi.org/10.1007/s00574-025-00451-w

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