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The line bundles on the moduli stack of principal bundles on families of curves

Part of: Curves Linear algebraic groups and related topics Families, fibrations Cycles and subschemes

Published online by Cambridge University Press:  22 November 2024

Roberto Fringuelli  and
Filippo Viviani
Roberto Fringuelli*
Affiliation:
Dipartimento di Matematica, Università di Roma ‘La Sapienza’, Roma, Italy
Filippo Viviani
Affiliation:
Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, Roma, Italy
*
Corresponding author: Roberto Fringuelli, email: [email protected]
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Abstract

Given a connected reductive algebraic group G over an algebraically closed field, we investigate the Picard group of the moduli stack of principal G-bundles over an arbitrary family of smooth curves.

Keywords

moduli of principal bundlesalgebraic curvesPicard group

MSC classification

Primary: 14H60: Vector bundles on curves and their moduli
Secondary: 14D20: Algebraic moduli problems, moduli of vector bundles 14C22: Picard groups 20G07: Structure theory 14H10: Families, moduli (algebraic)
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 68 , Issue 1 , February 2025 , pp. 80 - 127
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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