{"volume":16,"date_updated":"2021-01-12T06:50:58Z","page":"1609 - 1638","month":"08","publication":"Geometry and Topology","date_created":"2018-12-11T11:52:13Z","quality_controlled":0,"_id":"1471","title":"Prym varieties of spectral covers","main_file_link":[{"url":"http://arxiv.org/abs/1012.4748","open_access":"1"}],"date_published":"2012-08-01T00:00:00Z","author":[{"full_name":"Tamas Hausel","last_name":"Hausel","first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Christian","last_name":"Pauly","full_name":"Pauly, Christian"}],"status":"public","year":"2012","day":"01","type":"journal_article","publication_status":"published","citation":{"ama":"Hausel T, Pauly C. Prym varieties of spectral covers. Geometry and Topology. 2012;16(3):1609-1638. doi:10.2140/gt.2012.16.1609","ieee":"T. Hausel and C. Pauly, “Prym varieties of spectral covers,” Geometry and Topology, vol. 16, no. 3. University of Warwick, pp. 1609–1638, 2012.","chicago":"Hausel, Tamás, and Christian Pauly. “Prym Varieties of Spectral Covers.” Geometry and Topology. University of Warwick, 2012. https://doi.org/10.2140/gt.2012.16.1609.","mla":"Hausel, Tamás, and Christian Pauly. “Prym Varieties of Spectral Covers.” Geometry and Topology, vol. 16, no. 3, University of Warwick, 2012, pp. 1609–38, doi:10.2140/gt.2012.16.1609.","ista":"Hausel T, Pauly C. 2012. Prym varieties of spectral covers. Geometry and Topology. 16(3), 1609–1638.","apa":"Hausel, T., & Pauly, C. (2012). Prym varieties of spectral covers. Geometry and Topology. University of Warwick. https://doi.org/10.2140/gt.2012.16.1609","short":"T. Hausel, C. Pauly, Geometry and Topology 16 (2012) 1609–1638."},"oa":1,"doi":"10.2140/gt.2012.16.1609","intvolume":" 16","issue":"3","extern":1,"publist_id":"5726","abstract":[{"text":"Given a possibly reducible and non-reduced spectral cover π: X → C over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsion points of the Jacobian of C acts trivially on the cohomology of the twisted SL n-Higgs moduli space up to the degree which is predicted by topological mirror symmetry. In particular this yields a new proof of a result of Harder-Narasimhan, showing that this finite group acts trivially on the cohomology of the twisted SL n stable bundle moduli space.","lang":"eng"}],"publisher":"University of Warwick"}