location:  Publications → journals
Search results

Search: MSC category 11G25 ( Varieties over finite and local fields [See also 14G15, 14G20] )

 Expand all        Collapse all Results 1 - 5 of 5

1. CMB 2011 (vol 56 pp. 500)

Browning, T. D.
 The Lang--Weil Estimate for Cubic Hypersurfaces An improved estimate is provided for the number of $\mathbb{F}_q$-rational points on a geometrically irreducible, projective, cubic hypersurface that is not equal to a cone. Keywords:cubic hypersurface, rational points, finite fieldsCategories:11G25, 14G15

2. CMB 2010 (vol 53 pp. 385)

Achter, Jeffrey D.
 Exceptional Covers of Surfaces Consider a finite morphism $f: X \rightarrow Y$ of smooth, projective varieties over a finite field $\mathbf{F}$. Suppose $X$ is the vanishing locus in $\mathbf{P}^N$ of $r$ forms of degree at most $d$. We show that there is a constant $C$ depending only on $(N,r,d)$ and $\deg(f)$ such that if $|{\mathbf{F}}|>C$, then $f(\mathbf{F}): X(\mathbf{F}) \rightarrow Y(\mathbf{F})$ is injective if and only if it is surjective. Category:11G25

3. CMB 2009 (vol 53 pp. 187)

Ünver, Sinan
 On the Local Unipotent Fundamental Group Scheme We prove a local, unipotent, analog of Kedlaya's theorem for the pro-p part of the fundamental group of integral affine schemes in characteristic p. Category:11G25

4. CMB 2009 (vol 52 pp. 237)

Ghioca, Dragos
 Points of Small Height on Varieties Defined over a Function Field We obtain a Bogomolov type of result for the affine space defined over the algebraic closure of a function field of transcendence degree $1$ over a finite field. Keywords:heights, Bogomolov conjectureCategories:11G50, 11G25, 11G10

5. CMB 2001 (vol 44 pp. 242)

Schueller, Laura Mann
 The Zeta Function of a Pair of Quadratic Forms The zeta function of a nonsingular pair of quadratic forms defined over a finite field, $k$, of arbitrary characteristic is calculated. A.~Weil made this computation when $\rmchar k \neq 2$. When the pair has even order, a relationship between the number of zeros of the pair and the number of places of degree one in an appropriate hyperelliptic function field is Category:11G25