A novel aliphatic polycarbonate from renewable resource was prepared by copolymerization of furfuryl glycidyl ether and CO2 using rare earth ternary catalyst; its number-average molecular weight (M-n) reached 13.3 x 10(4) g/mol. The furfuryl glycidyl ether and CO2 copolymer (PFGEC) was easy to become yellowish at ambient atmosphere due to post polymerization cross-linking reaction oil the furan ring; the gel content was 17.2 wt % after 24 h exposure to air at room temperature. PFGEC could be stabilized by addition of antioxidant 1010 (tetrakis[methylene (3.5-di(tert-butyl)-4-hydroxhydrocinnamate)]methane) in 0.5-3 wt % after copolymerization. The Diels-Alder (DA) reaction between N-phenylmaleimide and the pendant furan ring was also effective for the stabilization of PFGEC by reducing the amount of furan ring and introducing bulky groups into PFGEC. The cyclization degree could reach 72.1% when the molar ratio of N-phenylmaleimide to furan ring was 3: 1, and no gel was observed after 24 h exposure to air. The glass transition temperature (T-g) of PFGEC was 6.8 degrees C, and it increased to 40.3 degrees C after DA reaction (molar ratio of N-phenylmaleimide to furan ring was 3: 1). A third way was also conducted to solve the air instability of PFGEC, where tetrahydrofurfuryl glycidyl ether, a hydrogenated furfuryl glycidyl ether, was used instead of furfuryl glycidyl ether for air-stable polycarbonate, and a copolymer with M-n of 7.7 x 10(4) g/mol and T-g of -5.7 degrees C was synthesized.