{"day":"01","year":"2012","_id":"1471","page":"1609 - 1638","issue":"3","intvolume":" 16","quality_controlled":0,"doi":"10.2140/gt.2012.16.1609","date_created":"2018-12-11T11:52:13Z","date_updated":"2021-01-12T06:50:58Z","author":[{"first_name":"Tamas","last_name":"Hausel","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Tamas Hausel"},{"full_name":"Pauly, Christian","last_name":"Pauly","first_name":"Christian"}],"title":"Prym varieties of spectral covers","date_published":"2012-08-01T00:00:00Z","status":"public","oa":1,"abstract":[{"lang":"eng","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."}],"publication_status":"published","type":"journal_article","publist_id":"5726","month":"08","publication":"Geometry and Topology","citation":{"ista":"Hausel T, Pauly C. 2012. Prym varieties of spectral covers. Geometry and Topology. 16(3), 1609–1638.","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.","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.","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","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","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.","short":"T. Hausel, C. Pauly, Geometry and Topology 16 (2012) 1609–1638."},"publisher":"University of Warwick","extern":1,"volume":16,"main_file_link":[{"url":"http://arxiv.org/abs/1012.4748","open_access":"1"}]}