Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of resea
This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, the
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete p
An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors p
Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and grea