Some context: applied/pure mathematics. My supervisor is known and respected in their field. We are writing a paper together, however for various reasons, by the time of submission, I will probably have written 80-100% of it myself. In this case, my supervisor wishes not to be listed as an author, specifically because they don't wish to claim credit for work that isn't theirs. (i.e. the quality of the work is not in question)
Question: as a first publication, would it have greater impact if I were to list my supervisor as an author regardless?
My thinking is that a publication whose only author is a no-name (me) will likely not be read, whereas my supervisor's name might attract readers who are familiar with his/her work. On the other hand, while it might suffer from lower impact to omit my supervisor's name from the author list, including my supervisor's name does detract credit from the work I have done, and I have to consider how it looks when applying to graduate and PhD positions.