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Transactions of the American Mathematical Society

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Moduli of parabolic sheaves on a polarized logarithmic scheme


Author: Mattia Talpo
Journal: Trans. Amer. Math. Soc. 369 (2017), 3483-3545
MSC (2010): Primary 14D20, 14D23
DOI: https://doi.org/10.1090/tran/6747
Published electronically: October 12, 2016
MathSciNet review: 3605978
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Abstract: We generalize the construction of moduli spaces of parabolic
sheaves given by Maruyama and Yokogawa to the case of a projective fine saturated log scheme with a fixed global chart. Furthermore we construct moduli spaces of parabolic sheaves without fixing the weights.


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Additional Information

Mattia Talpo
Affiliation: Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, British Columbia V6T 1Z2, Canada
Email: mtalpo@math.ubc.ca

DOI: https://doi.org/10.1090/tran/6747
Keywords: Log geometry, parabolic sheaf, moduli of sheaves, root stack
Received by editor(s): January 24, 2015
Received by editor(s) in revised form: May 12, 2015
Published electronically: October 12, 2016
Article copyright: © Copyright 2016 American Mathematical Society