Geodesic
Galois-Module Theory for Wildly Ramified Covers of Curves over Finite Fields (with an Appendix by Bernhard Köck and Adriano Marmora)
Documenta mathematica, Tome 24 (2019), pp. 175-208
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Given a Galois cover of curves over Fp​, we relate the p-adic valuation of epsilon constants appearing in functional equations of Artin L-functions to an equivariant Euler characteristic. Our main theorem generalises a result of Chinburg from the tamely to the weakly ramified case. We furthermore apply Chinburg's result to obtain a 'weak' relation in the general case. In the Appendix, we study, in this arbitrarily wildly ramified case, the integrality of p-adic valuations of epsilon constants.
DOI : 10.4171/dm/678
Classification : 11R33, 11R58, 14G10, 14G15, 14H30
Mots-clés : Galois cover of curves, weakly ramified, epsilon constant, equivariant Euler characteristic 
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     author = {Helena Fischbacher-Weitz and Bernhard K\"ock},
     title = {Galois-Module {Theory} for {Wildly} {Ramified} {Covers} of {Curves} over {Finite} {Fields} (with an {Appendix} by {Bernhard} {K\"ock} and {Adriano} {Marmora)}},
     journal = {Documenta mathematica},
     pages = {175--208},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/678},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/678/}
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Helena Fischbacher-Weitz; Bernhard Köck. Galois-Module Theory for Wildly Ramified Covers of Curves over Finite Fields (with an Appendix by Bernhard Köck and Adriano Marmora). Documenta mathematica, Tome 24 (2019), pp. 175-208. doi: 10.4171/dm/678

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