Abstract
We study moduli stacks of principal \({\mathbb C}^*\)-bundles over nodal complex algebraic curves and determine their rational cohomology algebras in terms of Chern classes.
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Acknowledgements
The first author is supported by Grant PAPIIT UNAM IN100723, “Curvas, sistemas lineales en superficies proyectivas y fibrados vectoriales”. The second author would like to thank Centro de Ciencias Matemáticas (CCM), UNAM Campus Morelia, for the wonderful hospitality and financial support through the Programa de Estancias de Investigación (PREI) de la Dirección General Asuntos del Personal Académico, DGAPA-UNAM. He also likes to thank the organizers of the XIII Annual International Conference of the Georgian Mathematical Union in Batumi for the kind invitation and great hospitality. Both authors thank the referees for their valuable comments.
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Castorena, A., Neumann, F. COHOMOLOGY OF MODULI STACKS OF PRINCIPAL \({\mathbb C}^*\)-BUNDLES OVER NODAL ALGEBRAIC CURVES. J Math Sci (2024). https://doi.org/10.1007/s10958-024-07037-9
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DOI: https://doi.org/10.1007/s10958-024-07037-9