Geodesic
Laurent phenomenon for Landau--Ginzburg models of complete intersections in Grassmannians
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 102-113

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In 1997 Batyrev, Ciocan-Fontanine, Kim, and van Straten suggested a construction of Landau–Ginzburg models for Fano complete intersections in Grassmannians similar to Givental's construction for complete intersections in smooth toric varieties. We show that for a Fano complete intersection in a Grassmannian the result of the above construction is birational to a complex torus. In other words, the complete intersections under consideration have very weak Landau–Ginzburg models. 
@article{TM_2015_290_a8,
     author = {V. V. Przyjalkowski and C. A. Shramov},
     title = {Laurent phenomenon for {Landau--Ginzburg} models of complete intersections in {Grassmannians}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {102--113},
     publisher = {mathdoc},
     volume = {290},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_290_a8/}
}
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V. V. Przyjalkowski; C. A. Shramov. Laurent phenomenon for Landau--Ginzburg models of complete intersections in Grassmannians. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 102-113. http://geodesic.mathdoc.fr/item/TM_2015_290_a8/