Tire Storage Recommendations
The following text is a document from Engineering at Goodyear Tire and Rubber Company. Although the tips listed are directed mainly at warehouse facilities and dealers, they are helpful tips if you are planning on storing your Corvette's tires for long periods of time.
"The tread and sidewall of tires are compounded to resist deterioration caused by sunlight and ozone. Nevertheless, stored tires should be protected against these and other potentially damaging conditions. An important thing to remember about tire storage is to use the tires which have been in stock the longest period of time. The longer the storage period, the more exposure there is to potential damage."
Link: Tire Storage Recommendations