The authors introduce logarithmic coherent sheaves in the logarithmic étale topology and tools to reduce homological algebra computations to alterations, unifying logarithmic Quot spaces, Picard groups, and parabolic sheaves.
Compactifications of reductive groups as moduli stacks of bundles
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Coherent sheaves in logarithmic geometry
The authors introduce logarithmic coherent sheaves in the logarithmic étale topology and tools to reduce homological algebra computations to alterations, unifying logarithmic Quot spaces, Picard groups, and parabolic sheaves.