Princeton has joined with its Ivy peers and six other schools in filing an amicus brief that argues against a Supreme Court challenge to the consideration of race in college admissions.

The court is scheduled to hear oral arguments Oct. 10 in Fisher v. University of Texas, a case filed by a white ­student who claimed that she was denied admission because of her race. The case provides the court an opportunity to revisit a 2003 ruling that race could play a limited role in admission ­policies.

Peter G. McDonough, Princeton’s general counsel, said the amicus brief emphasizes “our institutional interest in a student body with robust diversity, which promotes an environment that enriches the educational experience for all our students, and also prepares them as citizens and leaders in a heterogeneous nation and world.”

The schools recognize that admission policies that treat applicants differently on the basis of race “must be narrowly tailored to achieve compelling educational interests or objectives,” McDonough said.

The brief urges the court not to retreat from its prior recognition of the benefits of diversity and “the acceptability of considering race and ethnicity in the context of a holistic review of an applicant’s candidacy for admission,” he said. 

In addition to the eight Ivy League schools, others participating in the brief are the University of Chicago, Stanford, MIT, Duke, Vanderbilt, and Johns Hopkins.