Compactifications of spaces of landau-ginzburg models

C. Diemer, Ludmil Katzarkov, G. Kerr

Research output: Contribution to journal › Article

2 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)487-508
Number of pages22
JournalIzvestiya Mathematics
Volume77
Issue number3
DOIs
StatePublished - 2013

Fingerprint

Quiver Representation
Del Pezzo Surfaces
Ginzburg-Landau Model
Ginzburg-Landau
Degeneration
Compactification
Stability Condition
Review
Relationships

Keywords

  • Homological mirror symmetry
  • Moduli spaces

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Compactifications of spaces of landau-ginzburg models. / Diemer, C.; Katzarkov, Ludmil; Kerr, G.

In: Izvestiya Mathematics, Vol. 77, No. 3, 2013, p. 487-508.

Research output: Contribution to journal › Article

Diemer, C, Katzarkov, L & Kerr, G 2013, 'Compactifications of spaces of landau-ginzburg models', Izvestiya Mathematics, vol. 77, no. 3, pp. 487-508. https://doi.org/10.1070/IM2013v077n03ABEH002645
Diemer C, Katzarkov L, Kerr G. Compactifications of spaces of landau-ginzburg models. Izvestiya Mathematics. 2013;77(3):487-508. https://doi.org/10.1070/IM2013v077n03ABEH002645
Diemer, C. ; Katzarkov, Ludmil ; Kerr, G. / Compactifications of spaces of landau-ginzburg models. In: Izvestiya Mathematics. 2013 ; Vol. 77, No. 3. pp. 487-508.
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