This is only my own overview - the following is not very accurate, but I hope it will help you.
Carbon dioxide (CO2) is a greenhouse gas which is produced through burning fossil-based fuel. One of the purposes of the Kyoto agreement is to persuade countries to agree to a reduction of CO2 emissions over a period of time (up to 2012).
To do this they are trying to commoditise, or place a cash value on, CO2 emissions, which they hope will force governments and manufacturers to take into account, and be responsible for, this 'externality' of production.
To begin with, signatory countries were issued with 'carbon credits' representing their emissions of CO2. The more credits you have, the more you are allowed to release into the atmosphere. These credits can be traded. If your production efficiency improves and you release less CO2, you can sell your surplus credits to someone else. If you want to expand and emit more CO2 you can buy credits from someone else. As far as I know, the idea is that eventually all manufacturers will have to have credits to release CO2 into the atmosphere; over time, fewer credits will be issued and they will become more expensive, so persuading organisations to use more efficient methods and reduce emissions.
There are numerous problems with the plan. Here are a few. It is thought that too many credits were issued to begin with, so no immediate or medium-term benefit; not every country has agreed to sign up - notably USA; it is also very difficult to measure the actual emissions.
Emissions cuts abroad. CO2 emissions is a global problem - it has an effect everywhere regardless of where they originated. Your text is saying that industrialised countries can earn the right to release more CO2 themselves if they pay for a reduction in emissions in another, less well developed country, resulting in no net increase in CO2 release. This has an additional benefit of transferring technical expertise at the same time.