Polite phrase to ask for details [closed]

'I should be grateful if you would send me the details.'

I see nothing wrong with "May I get the details?"—but customs differ in different environments.

I'm fond of "Would it be possible for me to get . . .?"

This does my correspondent the courtesy of recognizing that what I'm requesting is something of an imposition and may not be "possible" (or, more likely, convenient) for him with his busy schedule.

At the same time it presents a mild challenge: nobody likes to admit that anything is impossible—unless, of course, it actually is impossible, for reasons which he will be happy to supply, in order to displace my disappointment on some third party.

In American English, there is nothing impolite in your statement.

The term get might, just might, be though of as a bit demanding, but it would have to be a very sensitive recipient to take offense at it.

The word have is slightly gentler. Adding please almost always helps.

"May I please have the details?"

As noted in other answers, adding reasons and how this will benefit the responder can also help achieve a positive reaction.

The context would affect it; but for e.g. in a case where you are asking them to file a ticket:

Note that you can file a bug report here{link to url}, please include all relevant details to help us in our investigation.

This points out why you are asking for the info. If there is specific information that people tend to leave out, you should refer to that (include ... details such as X, Y & Z) to assist them in figuring out what is pertinent.