Varieties over finite fields: quantitative theory
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Publication:4684241
DOI10.1070/RM9814zbMath1427.14052OpenAlexW2804072590MaRDI QIDQ4684241
Michael A. Tsfasman, Dmitrii Yu. Nogin, S. G. Vleduts
Publication date: 27 September 2018
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm9814
zeta functionserror-correcting codesarithmetic statisticsalgebraic varieties over finite fieldsexplicit formulae in arithmeticpoints on surfaces
Grassmannians, Schubert varieties, flag manifolds (14M15) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Varieties over finite and local fields (11G25)
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Cites Work
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- Classification of zeta functions of bielliptic surfaces over finite fields
- The groups of points on abelian varieties over finite fields
- \(K3\) surfaces over finite fields with given \(L\)-function
- Finite group subschemes of abelian varieties over finite fields
- The minimum weight of the Grassmann codes C(k,n)
- Zeta functions of bielliptic surfaces over finite fields
- Schubert varieties, linear codes and enumerative combinatorics.
- \(K3\) surfaces of finite height over finite fields
- Number of points of an algebraic curve
- Nonsingular plane cubic curves over finite fields
- Representations of finite Chevalley groups. A survey
- Geography for surfaces of general type in positive characteristic
- The number of solutions of certain diagonal equations over finite fields
- Codes projectifs à deux ou trois poids associes aux hyperquadriques d'une géométrie finie
- Representations of reductive groups over finite fields
- On the number of solutions of polynomial systems
- Sections of the Del Pezzo surfaces and generalized weights
- Asymptotic properties of zeta-functions
- The weight hierarchies of the projective codes from nondegenerate quadrics
- The structure of the rational point groups of simple abelian varieties of dimension two over finite fields
- On the asymptotic behaviour of some towers of function fields over finite fields
- Linear sections of the finite Veronese varieties and authentication systems defined using geometry
- On supersingular abelian varieties of dimension two over finite fields
- The spectrum of codes associated with the Grassmannian variety \(G(3,6)\)
- Number of points of Deligne-Lusztig surfaces
- La conjecture de Weil. I
- Codes from flag varieties over a finite field
- Generalized Hamming weights of codes on multi-dimensional quadrics
- A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
- Finiteness of \(T\)-tamely ramified and \(S\)-decomposed towers and \(p\)-towers
- An elementary bound for the number of points of a hypersurface over a finite field
- Some properties and applications of Hermitian varieties in a finite projective space PG(N,\(q^ 2\)) in the construction of strongly regular graphs (two-class association schemes) and block designs
- Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
- Frobenius and the Hodge filtration (estimates)
- Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
- Towers of Function Fields over Non-prime Finite Fields
- On a conjecture of Tsfasman and an inequality of Serre for the number of points on hypersurfaces over finite fields
- On classification of groups of points on abelian varieties over finite fields
- Weight Spectrum of Codes Associated With the Grassmannian <formula formulatype="inline"><tex Notation="TeX">$G(3,7)$</tex></formula>
- Cubic surfaces over finite fields
- On the Euler Number of Algebraic Surfaces in Characteristic P
- On the Minimum Distance Conjecture for Schubert Codes
- Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
- Rational varieties: algebra, geometry and arithmetic
- Projective Reed-Muller codes
- Association Schemes, Orthogonal Arrays and Codes from Non‐Degenerate Quadrics and Hermitian Varieties in Finite Projective Geometries
- A note on elliptic curves over finite fields
- The weight hierarchy of higher dimensional Hermitian codes
- Generalized Hamming weights of q-ary Reed-Muller codes
- Minimal del Pezzo surfaces of degree $2$ over finite fields
- Calculation of Manin’s invariant for Del Pezzo surfaces
- Galois towers over non-prime finite fields
- Algebraic Geometry Codes: Advanced Chapters
- Number of solutions of systems of homogeneous polynomial equations over finite fields
- Zeta-functions of conic bundles and of del Pezzo surfaces of degree 4 over finite fields
- Abelian Surfaces over Finite Fields as Jacobians
- The groups of points on abelian surfaces over finite fields
- On the Rationality of the Zeta Function of an Algebraic Variety
- Abelian varieties over finite fields
- Frobenius and the Hodge filtration
- Zur Theorie der abstrakten elliptischen Funktionenkörper I. Die Struktur der Gruppe der Divisorenklassen endlicher Ordnung.
- Numbers of solutions of equations in finite fields
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