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We present a large scale survey of life-times for spontaneous fission in theregime of super-heavy elements (SHE), i.e. nuclei with Z=104-122. This is doneon the basis of the Skyrme-Hartree-Fock model. The axially symmetric fissionpath is computed using a quadrupole constraint. Self-consistent cranking isused for the collective masses and associated quantum corrections. The actualtunneling probability is estimated by the WKB approximation. Three typicalSkyrme forces are used to explore the sensitivity of the results. Benchmarks inthe regime Z=104-108 show an acceptable agreement. The general systematicsreflects nicely the islands of shell stabilization and the crossover from$\alpha$-decay to fission for the decay chains from the region of Z/N=118/176.

FISSION OF SUPER-HEAVY NUCLEI EXPLORED WITH SKYRME FORCES