I am a PMP and I have been assigned to a software development project and given the title of Project Manager. There is no technical project manager for this project and this is a balanced matrix organization where I have a portfolio manager above me and my team is assigned full-time to this project where I am acting as their functional manager (though technically my boss is their boss).
I am doing typical PM stuff like managing scope items, reconciling work items with the BRD/SRS, submitting change requests, and ensuring that we're meeting deadlines. However, we're working in an agile fashion with two-week sprints and the team is trying to behave as "scrum-like" as possible. This means daily scrums, prioritized backlog, sprint planning meetings, etc. However, in scrum the role of project manager does not exist, and in some ways a PM role is antithetical to the idea of scrum as a lot of the PMI-isms are built around the concept of a waterfall model. We also do some very non-scrum things, like loosely assign backlog storied a few sprints ahead to "know what's coming" and give management a plan for the future.
How can this arrangement be described? What happens when a PM is placed on a scrum team? Is this really just working in an agile manner since we're not adhering to the exact rules of scrum so we can't call it so? (like a sparkling wine made outside of Champagne, France)