1st Edition
Symmetries of Algebraic Varieties in Two and Three Dimensions A Computational Approach
1. Euclidean symmetries 2. Planar algebraic curves (I): implicit case 3. Planar Algebraic Curves (II): rational curves 4. Planar algebraic vector fields 5. Space algebraic curves 6. Algebraic surfaces (I): implicit surfaces 7. Rational surfaces (I): generalities; ruled surfaces 8. Rational surfaces (II): rational canal surfaces 9. Rational surfaces (III): translational and minimal 10. Finite sets of points
Biography
Juan Gerardo Alcázar is Full Professor of Applied Mathematics in the Department of Physics and Mathematics of the Universidad de Alcalá (Alcalá de Henares, Madrid, Spain), where he got his Ph.D. in Mathematics in 2007. He has authored and co-authored more than fifty research papers on Computer Algebra and Constructive Algebraic Geometry, most of them related to the interplay between Symbolic Computation and the effective solution of geometric problems on algebraic varieties, mainly curves and surfaces. His most cherished research topics are the effective computation of the topology of algebraic curves and surfaces, offset varieties, detection of special types of curves and surfaces, and efficient checking of symmetries, affine and projective equivalences.
