Abstract
The aim of the paper is twofold. First, some results of Shiota and Plaza-Martín on Prym varieties of curves with an involution are generalized to the general case of an arbitrary automorphism of prime order. Second, the equations defining the moduli space of curves with an automorphism of prime order as a subscheme of the Sato Grassmannian are given.
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Mathematics Subject Classification (2000): 14H40, 14H37, 14H10, 58B99
This work is partially supported by the research contracts BFM2000-1327 and BFM2000-1315 of DGI and SA064/01 of JCyL. The third author is also supported by MCYT ‘‘Ramón y Cajal’’ program and wishes to thank the Universidad Autónoma de Madrid for the hospitality during his stay, where part of this work was done.
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Gómez González, E., Muñoz Porras, J. & Plaza Martín, F. Prym varieties, curves with automorphisms and the Sato Grassmannian. Math. Ann. 327, 609–639 (2003). https://doi.org/10.1007/s00208-003-0422-0
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DOI: https://doi.org/10.1007/s00208-003-0422-0