Orbit spaces for the action of a maximal compact subgroup on spherical homogeneous spaces

Key Points

• This work aims to verify Batyrev’s conjecture specifically for symmetric spaces and a non-symmetric triple space.
• Verification of Batyrev’s conjecture using theoretical mathematics techniques applied to symmetric and non-symmetric spaces.
• Successful verification of Batyrev’s conjecture for symmetric spaces.
• Evidence supporting the conjecture for a specific non-symmetric triple space.