Algebraic curves and their applications

Mathematicians survey new applications of algebraic curves that the recent development of computational techniques and significant growth in computer power have made possible. Among their topics are a family of non-normal double planes associated to hyper-elliptic curves, formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function, computing heights on weighted projective spaces, the algebraic classification of subgroups of hyperbolic planar crystallographic groups, and curves in isomonodromy and isospectral deformations: Painlevé VI as a case study. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)