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Hello @Ezioezhil1,
Welcome to the community!
According to the information I have the Xperia Z3+ has a Gorilla glass on both the back and front of the phone.
Although service and warranty procedures vary from market to market, as far as I know external damage (such as damage caused by dropping the phone) is not covered by warranty. I would advise you contact your Local support team for further information about warranty. In order to have your device however, my recommendation is that you have your device sent to an authorized service centre to be examined and repaired.
Let me know how it goes!
I know it might be hard to find information on what type of glass that the phone uses but according to the information I have the Xperia Z3+ uses a Gorilla glass.
Let me know if there's anything else!