A new series of moduli components of rank-2 semistable sheaves on with singularities of mixed dimension

DOI10.1070/SM9312zbMath1451.14031arXiv1903.00772MaRDI QIDQ5122440

Aleksei N. Ivanov

Publication date: 22 September 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00772

zbMATH Keywords

reflexive sheavesprojective spacemoduli spacesrank-2 semistable sheaves

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (2)

Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space ⋮ A new nonreduced moduli component of rank-2 semistable sheaves on \({ \mathbb{P} }^3 \)

Cites Work

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• Ample divisors on fine moduli spaces on the projective plane
• Universal families of extensions
• Stable reflexive sheaves
• Moduli of stable sheaves. I
• Semistable rank 2 sheaves with singularities of mixed dimension on \(\mathbb{P}^3\)
• Two infinite series of moduli spaces of rank 2 sheaves on \({\mathbb {P}}^3\)
• Stable Rank 2 Reflexive Sheaves on P 3 with Small c 2 and Applications
• New divisors in the boundary of the instanton moduli space

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