Download e-book for kindle: Algebraic Curves over a Finite Field (Princeton Series in by J. W.P. Hirschfeld,G. Korchmáros,F. Torres

By J. W.P. Hirschfeld,G. Korchmáros,F. Torres

ISBN-10: 0691096791

ISBN-13: 9780691096797

This e-book offers an obtainable and self-contained creation to the idea of algebraic curves over a finite box, a subject matter that has been of basic value to arithmetic for a few years and that has crucial purposes in components similar to finite geometry, quantity idea, error-correcting codes, and cryptology. not like different books, this one emphasizes the algebraic geometry instead of the functionality box method of algebraic curves.

The authors commence by means of constructing the overall idea of curves over any box, highlighting peculiarities happening for optimistic attribute and requiring of the reader in basic terms simple wisdom of algebra and geometry. The specific homes curve over a finite box may have are then mentioned. The geometrical conception of linear sequence is used to discover estimates for the variety of rational issues on a curve, following the speculation of Stöhr and Voloch. The technique of Hasse and Weil through zeta features is defined, after which recognition turns to extra complex effects: a cutting-edge creation to maximal curves over finite fields is supplied; a entire account is given of the automorphism team of a curve; and a few purposes to coding thought and finite geometry are defined. The e-book comprises many examples and workouts. it's an vital source for researchers and the best textbook for graduate students.

Show description

Read or Download Algebraic Curves over a Finite Field (Princeton Series in Applied Mathematics) PDF

Similar geometry & topology books

Download e-book for iPad: Bayesian Logical Data Analysis for the Physical Sciences: A by Phil Gregory

Bayesian inference offers an easy and unified method of info research, permitting experimenters to assign percentages to competing hypotheses of curiosity, at the foundation of the present country of data. via incorporating appropriate past details, it will possibly occasionally increase version parameter estimates via many orders of importance.

New PDF release: Asymptotics in Dynamics, Geometry and PDEs; Generalized

Those are the complaints of a one-week overseas convention situated on asymptotic research and its purposes. They include significant contributions facing- mathematical physics: PT symmetry, perturbative quantum box thought, WKB analysis,- neighborhood dynamics: parabolic structures, small denominator questions, - new points in mildew calculus, with comparable combinatorial Hopf algebras and alertness to multizeta values,- a brand new family members of resurgent services concerning knot concept.

Read e-book online Several Complex Variables and Banach Algebras: 35 (Graduate PDF

Many connections were came across among the idea of analytic services of 1 or extra complicated variables and the examine of commutative Banach algebras. whereas functionality thought has frequently been hired to reply to algebraic questions equivalent to the life of idempotents in a Banach algebra, suggestions bobbing up from the examine of Banach algebras together with the maximal excellent area, the Silov boundary, Geason elements, and so forth.

New PDF release: Moduli Spaces of Riemannian Metrics (Oberwolfach Seminars)

This publication stories convinced areas of Riemannian metrics on either compact and non-compact manifolds. those areas are outlined by means of a number of sign-based curvature stipulations, with certain awareness paid to optimistic scalar curvature and non-negative sectional curvature, notwithstanding we additionally contemplate confident Ricci and non-positive sectional curvature.

Additional info for Algebraic Curves over a Finite Field (Princeton Series in Applied Mathematics)

Example text

Download PDF sample

Algebraic Curves over a Finite Field (Princeton Series in Applied Mathematics) by J. W.P. Hirschfeld,G. Korchmáros,F. Torres


by Brian
4.4

Rated 4.67 of 5 – based on 29 votes