Compactifications of spaces of landau-ginzburg models

C. Diemer; L. Katzarkov; G. Kerr

doi:10.1070/IM2013v077n03ABEH002645

Compactifications of spaces of landau-ginzburg models

C. Diemer, L. Katzarkov, G. Kerr

Mathematics

Research output: Contribution to journal › Review article › peer-review

3 Scopus citations

Abstract

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 An-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.

Original language	English (US)
Pages (from-to)	487-508
Number of pages	22
Journal	Izvestiya Mathematics
Volume	77
Issue number	3
DOIs	https://doi.org/10.1070/IM2013v077n03ABEH002645
State	Published - 2013

Keywords

Homological mirror symmetry
Moduli spaces

ASJC Scopus subject areas

Mathematics(all)

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abstract = "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 An-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.",

keywords = "Homological mirror symmetry, Moduli spaces",

author = "C. Diemer and L. Katzarkov and G. Kerr",

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AU - Katzarkov, L.

AU - Kerr, G.

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AB - 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 An-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.

KW - Homological mirror symmetry

KW - Moduli spaces

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M3 - Review article

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Compactifications of spaces of landau-ginzburg models

Abstract

Keywords

ASJC Scopus subject areas

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