Varieties without extra automorphisms III: hypersurfaces
نویسنده
چکیده
For any field k and integers n ≥ 1, d ≥ 3, with (n, d) not equal to (1, 3) or (2, 4), we exhibit a smooth hypersurface X over k of degree d in Pn+1 such that X has no non-trivial automorphisms over k. For (n, d) = (2, 4), we find X such that X has no non-trivial automorphisms induced by an automorphism of the ambient Pn+1.
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عنوان ژورنال:
- Finite Fields and Their Applications
دوره 11 شماره
صفحات -
تاریخ انتشار 2005