TY - GEN A1 - Süß, Hendrik A1 - Ilten, Nathan Owen T1 - Polarized complexity-1 T-varieties T2 - Michigan Mathematical Journal N2 - We describe polarized complexity-one T-varieties combinatorially in terms of so-called divisorial polytopes, and show how geometric properties of such a variety can be read off the corresponding divisorial polytope. We compare our description with other possible descriptions of polarized complexity-one T-varieties. We also describe how to explicitly find generators of affine complexity-one T-varieties. KW - torus actions KW - divisors Y1 - 2011 UR - https://opus4.kobv.de/opus4-UBICO/frontdoor/index/index/docId/5488 VL - 60 IS - 3 SP - 561 EP - 578 ER -