Trace Formula for Component Groups of Néron Models

نویسنده

  • JOHANNES NICAISE
چکیده

We study a trace formula for tamely ramified abelian varieties A over a complete discretely valued field, which expresses the Euler characteristic of the special fiber of the Néron model of A in terms of the Galois action on the l-adic cohomology of A. If A has purely additive reduction, the trace formula yields a cohomological interpretation for the number of connected components of the special fiber of the Néron model.

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تاریخ انتشار 2009