Geodesic
Compactifications of spaces of Landau--Ginzburg models
Izvestiya. Mathematics , Tome 77 (2013) no. 3, pp. 487-508

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This paper reviews the results and techniques from the authors' work on Landau–Ginzburg degenerations and applies them in basic examples. The main example is the $A_n$-category, where we observe a relationship to stability conditions and directed quiver representations. We conclude with a brief survey of applications to the birational geometry of del Pezzo surfaces. Bibliography: 31 titles.
Keywords: homological mirror symmetry
Mots-clés : moduli spaces. 
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     title = {Compactifications of spaces of {Landau--Ginzburg} models},
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C. Diemer; L. Katzarkov; G. Kerr. Compactifications of spaces of Landau--Ginzburg models. Izvestiya. Mathematics , Tome 77 (2013) no. 3, pp. 487-508. http://geodesic.mathdoc.fr/item/IM2_2013_77_3_a3/