ABSTRACT
Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The book surveys known facts about surfaces with an action of A5, explores A5-equivariant geometry of the quintic del Pezzo threefold V5, and gives a proof of its A5-birational rigidity.The a
TABLE OF CONTENTS
part 1|2 pages
Part I - Preliminaries
part 2|2 pages
Part II - Icosahedral group
part 3|2 pages
Part III - Quintic del Pezzo threefold
part 4|2 pages
Part IV - Invariant subvarieties
part 5|2 pages
Part V - Singularities of linear systems