Advanced Studies in Pure Mathematics

Moduli of sheaves

Nicole Mestrano and Carlos Simpson

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Abstract

We survey classical and recent developments in the theory of moduli spaces of sheaves on projective varieties.

Article information

Source
Development of Moduli Theory — Kyoto 2013, O. Fujino, S. Kondō, A. Moriwaki, M. Saito and K. Yoshioka, eds. (Tokyo: Mathematical Society of Japan, 2016), 77-172

Dates
Received: 13 January 2014
Revised: 19 May 2014
First available in Project Euclid: 4 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1538622430

Digital Object Identifier
doi:10.2969/aspm/06910077

Mathematical Reviews number (MathSciNet)
MR3586507

Zentralblatt MATH identifier
1369.14019

Subjects
Primary: 14D20: Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
Secondary: 14J29: Surfaces of general type 14H50: Plane and space curves

Keywords
Vector bundle Coherent sheaf Stability Moduli space Deformation Fourier-Mukai transform

Citation

Mestrano, Nicole; Simpson, Carlos. Moduli of sheaves. Development of Moduli Theory — Kyoto 2013, 77--172, Mathematical Society of Japan, Tokyo, Japan, 2016. doi:10.2969/aspm/06910077. https://projecteuclid.org/euclid.aspm/1538622430


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