Projective Automorphism Groups of Nonsingular Quartic Surfaces

2016/11/30 by Marcugini, Stefano, Pambianco, Fernanda, Kaneta, Hitoshi
#14J50 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.10101

Abstract

For every p >= 5, we determine all Z_p-invariant nonsingular quartic surfaces in the three dimensional projective space over an algebraically closed field of characteristic zero. In some cases, we also determine their full projective automorphism groups.

Related

• Quartic K3 surfaces without nontrivial automorphisms
• Quartic surfaces with icosahedral symmetry
• Automorphisms of quartic del Pezzo surfaces in characteristic zero
• S5-invariant Nonsingular Quartic Surfaces
• 15-nodal quartic surfaces. Part II: The automorphism group