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<< /S /GoTo /D (03section.2) >>
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(1. Introduction)
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(2. Notation)
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<< /S /GoTo /D (03section.6) >>
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(3. Generalities)
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<< /S /GoTo /D (03subsection.7) >>
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(3.1. Stacks of sheaves)
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<< /S /GoTo /D (03subsection.17) >>
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(3.2. The relative small \351tale site)
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<< /S /GoTo /D (03subsection.25) >>
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(3.3. Azumaya algebras)
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<< /S /GoTo /D (03subsection.28) >>
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(3.4. Twisted objects and rigidifications)
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<< /S /GoTo /D (03subsubsection.29) >>
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(3.4.1. Twisted objects)
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<< /S /GoTo /D (03subsubsection.41) >>
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(3.4.2. Pushing forward rigidifications)
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<< /S /GoTo /D (03subsubsection.48) >>
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(3.4.3. Deformation theory)
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<< /S /GoTo /D (03section.59) >>
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(4. Compactified moduli of PGLn-torsors: an abstract approach)
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<< /S /GoTo /D (03subsection.60) >>
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(4.1. Twisted sheaves)
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<< /S /GoTo /D (03subsection.63) >>
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(4.2. Compactification by rigidification)
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<< /S /GoTo /D (03section.69) >>
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(5. An explicit description of MnX: generalized Azumaya algebras)
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<< /S /GoTo /D (03subsection.70) >>
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(5.1. Derived Skolem--Noether)
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<< /S /GoTo /D (03subsection.89) >>
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(5.2. The construction of GAz)
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<< /S /GoTo /D (03subsubsection.91) >>
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(5.2.1. Stackification)
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<< /S /GoTo /D (03subsubsection.107) >>
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(5.2.2. Identification with rigidifications)
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<< /S /GoTo /D (03subsubsection.111) >>
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(5.2.3. The relative case)
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<< /S /GoTo /D (03subsubsection.115) >>
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(5.2.4. Identification of GAzX/S\(n\) with MXn)
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<< /S /GoTo /D (03section.116) >>
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(6. Moduli of stable PGLn-torsors on surfaces)
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<< /S /GoTo /D (03subsection.117) >>
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(6.1. Stability of torsors)
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<< /S /GoTo /D (03subsection.130) >>
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(6.2. Structure of moduli of twisted sheaves)
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<< /S /GoTo /D (03lem.140) >>
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(6.3. Consequences)
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<< /S /GoTo /D (03subsection.145) >>
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(6.4. Stackification is unnecessary on a surface)
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<< /S /GoTo /D (03subsection.148) >>
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(6.5. Deformation theory and the virtual fundamental class)
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<< /S /GoTo /D (03subsubsection.149) >>
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(6.5.1. Perfect obstruction theory for twisted sheaves)
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<< /S /GoTo /D (03subsubsection.151) >>
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(6.5.2. The virtual fundamental class of GAzX/k\(n\)s)
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<< /S /GoTo /D (03subsection.152) >>
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(6.6. A potential application: numerical invariants of division algebras over function fields)
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<< /S /GoTo /D (03section*.155) >>
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(Acknowledgments)
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<< /S /GoTo /D (03section*.156) >>
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