منابع مشابه
Subspace Arrangements over Finite Fields :
The enumeration of points on (or oo) the union of some linear or aane subspaces over a nite eld is dealt with in combinatorics via the characteristic polynomial and in algebraic geometry via the zeta function. We discuss the basic relations between these two points of view. Counting points is also related to thè-adic cohomology of the arrangement (as a variety). We describe the eigen-values of ...
متن کاملenumerating algebras over a finite field
we obtain the porc formulae for the number of non-associative algebras of dimension 2, 3 and 4 over the finite field gf$(q)$. we also give some asymptotic bounds for the number of algebras of dimension $n$ over gf$(q)$.
متن کاملenumerating algebras over a finite field
we obtain the porc formulae for the number of non-associative algebras of dimension 2, 3 and 4 over the finite field gf$(q)$. we also give some asymptotic bounds for the number of algebras of dimension $n$ over gf$(q)$.
متن کاملSubspace Arrangements over Finite Fields: Cohomological and Enumerative Aspects
The enumeration of points on (or off) the union of some linear or affine subspaces over a finite field is dealt with in combinatorics via the characteristic polynomial and in algebraic geometry via the zeta function. We discuss the basic relations between these two points of view. Counting points is also related to the l-adic cohomology of the arrangement (as a variety). We describe the eigenva...
متن کاملSpecies Over a Finite Field
We generalize Joyal’s theory of species to the case of functors from the groupoid of finite sets to the category of varieties over Fq . These have cycle index series defined by counting fixed points of twisted Frobenius maps. We give an application to configuration spaces.
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 2007
ISSN: 0386-2194
DOI: 10.3792/pjaa.82.179