Abstract
AbstractWe introduce a ‘limiting Frobenius structure’ attached to any degeneration of projective varieties over a finite field of characteristicpwhich satisfies ap-adic lifting assumption. Our limiting Frobenius structure is shown to be effectively computable in an appropriate sense for a degeneration of projective hypersurfaces. We conjecture that the limiting Frobenius structure relates to the rigid cohomology of a semistable limit of the degeneration through an analogue of the Clemens–Schmidt exact sequence. Our construction is illustrated, and conjecture supported, by a selection of explicit examples.
Subject
Computational Theory and Mathematics,General Mathematics
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