منابع مشابه
Construction of singular surfaces over a finite field
Fix a prime power q and integers m ≥ 2, σ > 0, x > 0, g ≥ 0, d ≥ mσ + 1 such that q ≥ (δ − 1)δ3, where δ := d3 + 3dx + 4x + 2g − 2. Let C ⊂ P be a smooth degree x curve defined over Fq such that h(P,IC(σ − 1)) = h(C,OC (σ − 2)) = 0 and pa(C) = g. Here we prove the existence of a degree d surface X ⊆ P3 defined over Fq, such that Sing(X) = C and X has ordinary multiplicity m along C, i.e. for ev...
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Let M be a geometrically irreducible smooth projective variety, defined over a finite field k, such that M admits a k–rational point x0. Let ̟(M,x0) denote the corresponding fundamental group–scheme introduced by Nori. Let EG be a principal G–bundle over M , where G is a reduced reductive linear algebraic group defined over the field k. Fix a polarization ξ on M . We prove that the following thr...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.2307/2043501