Clean your high-gloss Corian surface with soapy water or an ammonia-type cleaner. Another option is a commercial cleaner specifically made for counter tops.
Rinse the counter top thoroughly and wipe completely dry.
Remove hard water deposits with a lime remover. Follow directions, rinse and wipe dry.
Remove other hard-to-remove residue with Deep Cleaner for DuPont Corian. This special product is available from Stone Care International. Rinse and dry completely to avoid leaving water marks.
Remove blotches or very fine scratches with a liquid soft abrasive cleaner. Hard water left on the counter often creates this scratchy look. Apply the cleaning product using a soft cloth. Clean in circles, rinse and dry thoroughly.
Maintain the glossy finish of your Corian surface by always rinsing and drying it completely.