Hi sbatsch,
Not to worry - this problem is very common with projection TVs and is easily fixed:
The reason for the green shadows (and the resulting wrong colors) is that the three color tubes (red, green, and blue - the three colors of light that combine to form all the other colors) are not lined up exactly - this lining up is known as "convergence." You can fix convergence automatically or, if it doesn't work to your satisfaction, manually. Here's how:
Automatically:
1) Press MENU.
2) Go down to CONVERGENCE (using the up and down arrows)
3) Select it (usually with the left or right arrow)
4) Go down to AUTO and select it - the process should take about a minute.
If this doesn't work, then try manually:
1) MENU
2) CONVERGENCE (as above)
3) Select MANUAL
4) Using the number keys, SELECT, and the arrow keys, adjust the alignment of the different color crosses - the goal is to make them appear white (meaning that the red, blue, and green are exactly aligned on top of one another).
Here's a link to the JVC user manual that will explain the manual convergence adjustment in more detail.
http://resources.jvc.com/Resources/00/00/96/52105ien.pdfI hope this helps - please let me know if I can be of any further assistance.