If you grant stock options or issue stock options which are exercised, equity will increase. Part of equity is common stock at par; if you issue more shares, you have more shares at par, so equity increases. Furthermore, if you’ve issued stock options that are exercised, you may have additional paid-in capital (if the exercise price exceeds the par value).
You’re correct that this will likely cause dilution because the rest of equity; retained earnings, in particular, will not increase, so it will be divided by a new (higher) number of shares. Equity will rise and the number of shares outstanding will rise, but the latter will increase by a bigger percentage than the former.