Amplitude analysis and branching fraction measurement of the decay D-s(+) -> K+pi(+)pi(-)

Using 6.32 fb(-1) of e(+)e(-) collision data collected at the center-of-mass energies between 4.178 and 4.226 GeV with the BESIII detector, we perform an amplitude analysis of the decay D-s(+) -> K+pi(+)pi(-) and determine the amplitudes of the various intermediate states. The absolute branching fraction of D-s(+) -> K+pi(+)pi(-) is measured to be (6.11 +/- 0 .18(stat.) +/- 0.11(syst.)) x 10(-3). The branching fractions of the dominant intermediate processes D-s(+) -> K+C+rho(0), rho(0) -> pi(+)pi(-) and D-s(+) -> K*(892)(0)pi(+), K*(892)(0) -> K+pi(-) are determined to be (1.96 +/- 0.19(stat.) +/- 0.23(syst.)) x 10(-3) and (1.85 +/- 0.12(stat.) +/- 0.13(syst.)) x 10(-3), respectively. The intermediate resonances f(0)(500), f(0)(980), and f(0)(1370) are observed for the first time in this channel.