Cogeneration plant for burning a fossil fuel with pure oxygen in a gas turbine cycle for generation of a combustion gas utilized for heating water into steam in a steam cycle, wherein: said gas turbine cycle includes: - a gas turbine, to expand a combustion gas, - a combustor (COMB) of said gas turbine, burning a mixture of fuel, oxygen and a recirculated first flow of combustion gas, generating combustion gas to be expanded, - a heat recovery steam generator (HRSG), arranged downstream the gas turbine, receiving combustion gas to heat liquid water and steam, resulting in steam and/or superheated steam, - a division module (DMOD) at a division point, by means of which downstream said heat recovery steam generator (HRSG) said combustion gas is divided into said recirculated first combustion gas flow and a second combustion gas flow, - a compressor (COMP), receiving said first combustion gas flow, which is compressed to enter the combustor (COMB) and mix with said flow of oxygen and fuel to be burned in said gas turbine, said steam cycle includes: - a steam turbine, by means of which said steam is expanded, - a first condenser, arranged downstream the steam turbine, by means of which expanded steam is at least partially condensed to liquid water, - a first pump, wherein said first pump delivers said liquid water with increased pressure to said heat recovery steam generator (HRSG) to be heated up by heat exchange with said combustion gas, wherein - a cooler/condenser (COON) receiving combustion gas is provided downstream the heat recovery steam generator (HRSG), which is cooling the combustion gas flow and - a heater (CHEAT) for heating and de-liquefying combustion gas is provided downstream said division module (DMOD) and upstream said compressor (COMP) for heating and de-liquefying said part of said combustion gas before supplying it to the compressor (COMP), and wherein said second flow of combustion gas CB2 is submitted to a second condenser in order to cool down this mixture of water and carbon dioxide wherein in the second condenser a part of the humid fraction of the combustion gas is condensed into water, which is separated from the rest of the gas mixture. said gas turbine cycle includes: - a gas turbine, to expand a combustion gas, - a combustor (COMB) of said gas turbine, burning a mixture of fuel, oxygen and a recirculated first flow of combustion gas, generating combustion gas to be expanded, - a heat recovery steam generator (HRSG), arranged downstream the gas turbine, receiving combustion gas to heat liquid water and steam, resulting in steam and/or superheated steam, - a division module (DMOD) at a division point, by means of which downstream said heat recovery steam generator (HRSG) said combustion gas is divided into said recirculated first combustion gas flow and a second combustion gas flow, - a compressor (COMP), receiving said first combustion gas flow, which is compressed to enter the combustor (COMB) and mix with said flow of oxygen and fuel to be burned in said gas turbine, - a gas turbine, to expand a combustion gas, - a combustor (COMB) of said gas turbine, burning a mixture of fuel, oxygen and a recirculated first flow of combustion gas, generating combustion gas to be expanded, - a heat recovery steam generator (HRSG), arranged downstream the gas turbine, receiving combustion gas to heat liquid water and steam, resulting in steam and/or superheated steam, - a division module (DMOD) at a division point, by means of which downstream said heat recovery steam generator (HRSG) said combustion gas is divided into said recirculated first combustion gas flow and a second combustion gas flow, - a compressor (COMP), receiving said first combustion gas flow, which is compressed to enter the combustor (COMB) and mix with said flow of oxygen and fuel to be burned in said gas turbine, said steam cycle includes: - a steam turbine, by means of which said steam is expanded, - a first condenser, arranged downstream the steam turbine, by means of which expanded steam is at least partially condensed to liquid water, - a first pump, wherein said first pump delivers said liquid water with increased pressure to said heat recovery steam generator (HRSG) to be heated up by heat exchange with said combustion gas, - a steam turbine, by means of which said steam is expanded, - a first condenser, arranged downstream the steam turbine, by means of which expanded steam is at least partially condensed to liquid water, - a first pump, wherein said first pump delivers said liquid water with increased pressure to said heat recovery steam generator (HRSG) to be heated up by heat exchange with said combustion gas, wherein - a cooler/condenser (COON) receiving combustion gas is provided downstream the heat recovery steam generator (HRSG), which is cooling the combustion gas flow and - a heater (CHEAT) for heating and de-liquefying combustion gas is provided downstream said division module (DMOD) and upstream said compressor (COMP) for heating and de-liquefying said part of said combustion gas before supplying it to the compressor (COMP), - a cooler/condenser (COON) receiving combustion gas is provided downstream the heat recovery steam generator (HRSG), which is cooling the combustion gas flow and - a heater (CHEAT) for heating and de-liquefying combustion gas is provided downstream said division module (DMOD) and upstream said compressor (COMP) for heating and de-liquefying said part of said combustion gas before supplying it to the compressor (COMP),