On Langlands functoriality- reduction to the semistable case

Details On Langlands functoriality- reduction to the semistable case On Langlands functoriality- reduction to the semistable case

2002-09-24

arxiv.org/abs/math/0209317v1

Mathematics

Number Theory

18 pages

Scientific paper

We generalize a beautiful method of Blasius and Ramakrishnan, that in order
to exhibit particular instances of the Langlands functorial correspondence, it
is enough to show that the correspondence holds in the semistable case,
provided the arithmetic data we are considering is closed with respect to
cyclic base change and descent.

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