Schemes: Automorphisms

Automorphisms of schemes defined over a field may be constructed. The main cases where there is significant functionality is for automorphisms of affine and projective spaces.

• Construction of general automorphisms of affine space in terms of functions or matrices
• Construction of special automorphisms of affine space: translation, permutation automorphisms, Nagata automorphism, projectivities
• Construction of general automorphisms of projective space in terms of polynomials or matrices
• Construction of special automorphisms of projective space: translation, quadratic transformation
• Automorphism group of a projective space defined over a finite field