On the Relative Twist Formula of l-adic Sheaves |
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Authors: | En Lin YANG Yi Geng ZHAO |
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Institution: | 1.School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China;2.Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany |
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Abstract: | We propose a conjecture on the relative twist formula of l-adic sheaves, which can be viewed as a generalization of Kato—Saito's conjecture. We verify this conjecture under some transversal assumptions. We also define a relative cohomological characteristic class and prove that its formation is compatible with proper push-forward. A conjectural relation is also given between the relative twist formula and the relative cohomological characteristic class. |
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Keywords: | Epsilon factor twist formula cohomological characteristic class Kü unneth formula |
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