A new nonreduced moduli component of rank-2 semistable sheaves on \({ \mathbb{P} }^3 \)

DOI10.1134/S0037446622030107zbMath1487.14092arXiv2012.05611MaRDI QIDQ2671980

Aleksei N. Ivanov

Publication date: 8 June 2022

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05611

zbMATH Keywords

reflexive sheavesmoduli 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)

Cites Work

• Obstructions to deforming space curves and non-reduced components of the Hilbert scheme
• The compactified Picard scheme of the compactified Jacobian
• A new series of moduli components of rank-2 semistable sheaves on with singularities of mixed dimension
• New divisors in the boundary of the instanton moduli space
• NEW SYMPLECTIC V-MANIFOLDS OF DIMENSION FOUR VIA THE RELATIVE COMPACTIFIED PRYMIAN
• Further Pathologies in Algebraic Geometry

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