 a process for producing water-absorbent polymer, comprising the steps forming water-absorbent polymer particles by polymerizing a monomer solution, coating of water-absorbent polymer particles with at least one surface-postcrosslinker and thermal surface-postcrosslinking of the coated water-absorbent polymer particles, wherein the content of residual monomers in the water-absorbent polymer particles prior to the coating with the surface-postcrosslinker is in the range from 0.0 to 00% by weight, the surface-postcrosslinker is an alkylene carbonate, and the temperature during the thermal surface-postcrosslinking is in the range from 000 to 000° C. The present invention 