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morphismOrganisation
Abstract. Given a geometrically irreducible subscheme X ⊆ PnFq of dimension at least 2, we prove that the fraction of degree d hypersurfaces H such that H ∩X is geometrically irreducible tends to 1 as d→∞. We also prove variants in which X is over an extension of Fq, and in which the immersion X → PnFq is replaced by a more general morphism. 1
of hypersurfaces of degree d in CN that have dual variety of dimension at most k. We apply these equ...
AbstractWe show explicit estimates on the number of q-ratinoal points of an Fq-definable affine abso...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
Given a geometrically irreducible subscheme $ X \subseteq \mathbb{P}^n_{\mathbb{F}_q}$ of dimension ...
Abstract We introduce a novel approach to Bertini irreducibility theorems over an arb...
AbstractThe hypersurfaces of degree d in the projective space Pn correspond to points of PN, where N...
In this thesis we show the existence of a hypersurface that contains a given closed subscheme of a p...
We compute the asymptotic density of non-singular hypersurfaces of bidegree (3, d) in P^n×P^1 with o...
Let G be a connected reductive algebraic group defined over an algebraic closure of a finite field a...
Let X be a smooth quasiprojective subscheme of P F q . Then there exist homogeneous polynomials...
Poonen’s Closed Point Sieve has proven to be a powerful technique for producingstructural and combin...
AbstractLet ϕ:P1→P1 be a rational map defined over a field K. We construct the moduli space Md(N) pa...
We study irreducibility of families of degree 4 Del Pezzo surface fibrations over curves
The paper proves new results on the irreducibility of fibers of a cover of an algebraic group, above...
AbstractDenoting by J′(d, g, 3) the subscheme of the Hubert scheme, whose general point corresponds ...
of hypersurfaces of degree d in CN that have dual variety of dimension at most k. We apply these equ...
AbstractWe show explicit estimates on the number of q-ratinoal points of an Fq-definable affine abso...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
Given a geometrically irreducible subscheme $ X \subseteq \mathbb{P}^n_{\mathbb{F}_q}$ of dimension ...
Abstract We introduce a novel approach to Bertini irreducibility theorems over an arb...
AbstractThe hypersurfaces of degree d in the projective space Pn correspond to points of PN, where N...
In this thesis we show the existence of a hypersurface that contains a given closed subscheme of a p...
We compute the asymptotic density of non-singular hypersurfaces of bidegree (3, d) in P^n×P^1 with o...
Let G be a connected reductive algebraic group defined over an algebraic closure of a finite field a...
Let X be a smooth quasiprojective subscheme of P F q . Then there exist homogeneous polynomials...
Poonen’s Closed Point Sieve has proven to be a powerful technique for producingstructural and combin...
AbstractLet ϕ:P1→P1 be a rational map defined over a field K. We construct the moduli space Md(N) pa...
We study irreducibility of families of degree 4 Del Pezzo surface fibrations over curves
The paper proves new results on the irreducibility of fibers of a cover of an algebraic group, above...
AbstractDenoting by J′(d, g, 3) the subscheme of the Hubert scheme, whose general point corresponds ...
of hypersurfaces of degree d in CN that have dual variety of dimension at most k. We apply these equ...
AbstractWe show explicit estimates on the number of q-ratinoal points of an Fq-definable affine abso...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
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