Minn. Stat. § 204B.13
Subd. 1. Death or withdrawal.
A vacancy in nomination may be filled in the manner provided by this section. A vacancy in nomination exists when:
Subd. 2. Partisan office; nomination by party.
Subd. 3.
[Repealed, 1991 c 320 s 16]
Subd. 4. Nonpartisan office; filling vacancy.
A vacancy in nomination in a nonpartisan office may be filled by filing an affidavit of candidacy and paying a filing fee or by filing an affidavit of candidacy and filing a petition in place of a filing fee in the manner provided in sections 204B.06, 204B.09, and 204B.11. All documents and fees required by this subdivision must be filed within five days after the vacancy in nomination occurs. There must be a two-day period for withdrawal of candidates after the last day for filing.
If the vacancy in nomination resulted from a withdrawal during the withdrawal period held on the 68th to 69th day before the primary, and if, at the end of the withdrawal period to fill the vacancy in nomination, there are more than two candidates, the candidates' names must appear on the primary ballot.
In all other cases, the candidates' names must appear on the general election ballot.
Subd. 5. Candidates for governor and lieutenant governor.
Subd. 6. Vacancy after deadline.
If a candidate withdraws after the 16th day before the general election but before four days before the general election, the secretary of state shall instruct the election judges to strike the name of the withdrawn candidate from the general election ballot and shall substitute no other candidate's name. Filing officers may not accept a nomination certificate for filing to fill a vacancy in nomination resulting from the filing of an affidavit of withdrawal by a candidate after the 14th day before the general election. Vacancies occurring through death or catastrophic illness after the 16th day before the general election are governed by section 204B.41.