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math.NT2025
Degrees of points on irreducible hypersurfaces
Lea Beneish, Andrew Granville
We study the set of such that a given irreducible hypersurface of degree has infinitely many points of degree over . We give a new explicit proof that t…
math.NT2025
Effective Bertini theorems and zeros of -adic forms of degrees 7 and 11
Lea Beneish, Christopher Keyes
We establish an effective Bertini-type theorem for hypersurfaces defined over a finite field for which has no linear factors over the algebraic closure $…