Icosahedron in birational geometry

Abstract

We study quotients of projective and affine spaces by various actions of the icosahedral group. Basically we concentrate on the rationality questions.

28 pages

References in corpus (4)

• The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group)
• The rationality problem for conic bundles
• Singularities and syzygies of secant varieties of nonsingular projective curves
• Coble fourfold, $S_6$-invariant quartic threefolds, and Wiman-Edge sextics