Here are the top 10 updates on this big story:
Fourteen rebel MLAs of the Congress and three of the JDS were disqualified under the anti-defection law by the Speaker in July.
The Speaker also said the MLAs cannot contest elections until the term of the current assembly ends in 2023.
The court may decide whether members disqualified under the anti-defection law can be barred from contesting polls.
The MLAs had questioned whether after resigning, they could be disqualified at all, given that the Supreme Court had said they cannot be forced to attend the assembly.
As the 17 MLAs quit and refused to return to the assembly, the JDS-Congress coalition fell during a trust vote on July 23, after which the BJP staked claim to power.
The MLAs petitioned the Supreme Court asking for their disqualification to be cancelled. The JDS and Congress also went to the court saying the disqualifications must be enforced.
By-polls to 15 of the seats left vacant by the disqualifications will be held on December 5.
The BJP has the support of 106 MLAs in the 224-member assembly including one independent. The opposition JDS-Congress has 101.
If the MLAs' disqualification is reversed, they can contest the by-polls as BJP candidates. The BJP has to win at least six of the 15 seats to retain its majority.
Chief Minister Yediyurappa has spoken in support of the rebels and is expected to accommodate them in his government as ministers. He may face resistance within the party on fielding Congress, JDS rebels as BJP candidates and then giving them ministries.