Bass Numbers of the First Nonzero Local Cohomology Module

Let R be a regular local ring containing a field, let I be an ideal with d=htI, and assume htp=d for every minimal prime p of I. We compute the Bass numbers μ⁰(q,HIᵈ(R)) and μ¹(q,HIᵈ(R)) for all primes q. We then study μ²(q,HIᵈ(R)) by considering the associated primes of HIᵈ⁺¹(R).