Compactifications of spaces of Landau-Ginzburg models

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 -category, where we observe a relationship to stability conditions and directed quiver representations. We conclude with a brief surv...

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Bibliographic Details
Published in:Izvestiya. Mathematics 2013-01, Vol.77 (3), p.487-508
Main Authors: Diemer, C., Katzarkov, L., Kerr, G.
Format: Article
Language:English
Subjects:
Degeneration
homological mirror symmetry
Mathematical models
moduli spaces
Representations
Stability
Citations: Items that this one cites
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Summary: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 -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.
ISSN:1064-5632
1468-4810
DOI:10.1070/IM2013v077n03ABEH002645