SVG is not currently supported as an EPUB export option for InDesign. You'll probably have to add the SVG manually using HTML5 and CSS.
While theoretically SVG may be supported by the EPUB standard, have you actually tested to see which EPUB readers support it. Those are two quite different things, which often comes up with EPUB files.
Thank you, Steve.
I have basically written out a music book with 100's of diagrams. I am to the point now where I am ready to do the layout and design work to get it published in an ebook format. The epub format appealed to me as it is xml based. I like the idea of using svg files as they are xml based, scalable, and small in size. I will also be using a number of MusicXML files exported from finale. I'm looking for a simple way to integrate all three as they are all xml based, and I was hoping InDesign could be that vehicle for the design and the integration of the 3 xml constructs into a single ebook. But unfortunately, it looks as though InDesign will handle neither the svg files nor the musicxml files.
In searching the web, I did find this plugin for using svg files within indesign at http://indesignsecrets.com/svg-import-and-export-means-better-epubs.php which adds functionality to InDesign for importing svg files and putting them directly in epub format without converting to raster graphics.
It is a work around for those trying to use svg files within indesign.
Though in my thinking, it seems that as indesign is the industry standard for layout and design they should have native support for the only supported vector based image on the web and in the ebook industry and that I should not have to use some other 3rd party plugin to gain that functionality.
I think SVG is beginning to make a come back. I've heard more discussion of it in the Illustrator forum than here so far.
But it may take a while before the product managers think it's important enough to include in EPUB. I'd file a feature request here:
Make a good case for why you need it for your project.
And come back and let us know if that third party product works. It may help others!