scholarly journals Convergence of Kähler to real polarizations on flag manifolds via toric degenerations

2014 ◽  
Vol 12 (3) ◽  
pp. 473-509 ◽  
Author(s):  
Mark D. Hamilton ◽  
Hiroshi Konno
Keyword(s):  
Flag Manifolds ◽  
Toric Degenerations

scholarly journals Mirror symmetry and toric degenerations of partial flag manifolds

2000 ◽  
Vol 184 (1) ◽  
pp. 1-39 ◽  
Author(s):  
Victor V. Batyrev ◽  
Ionuţ Ciocan-Fontanine ◽  
Bumsig Kim ◽  
Duco Straten
Keyword(s):  
Mirror Symmetry ◽  
Flag Manifolds ◽  
Toric Degenerations

Toric Degenerations, Tropical Curve, and Gromov–Witten Invariants of Fano Manifolds

2015 ◽  
Vol 67 (3) ◽  
pp. 667-695 ◽  
Author(s):  
Takeo Nishinou
Keyword(s):  
Moduli Space ◽  
Type A ◽  
Flag Manifolds ◽  
Fano Varieties ◽  
Fano Manifolds ◽  
Generalized Flag Manifolds ◽  
Tropical Curve ◽  
Toric Degenerations ◽  
Genus Two ◽  
Toric Fano Varieties

AbstractIn this paper, we give a tropical method for computing Gromov–Witten type invariants of Fano manifolds of special type. This method applies to those Fano manifolds that admit toric degenerations to toric Fano varieties with singularities allowing small resolutions. Examples include (generalized) flag manifolds of type A and some moduli space of rank two bundles on a genus two curve.

scholarly journals Toric Degenerations and Laurent Polynomials Related to Givental's Landau–Ginzburg Models

2016 ◽  
Vol 68 (4) ◽  
pp. 784-815 ◽  
Author(s):  
Charles F. Doran ◽  
Andrew Harder
Keyword(s):  
Toric Varieties ◽  
Fano Variety ◽  
Complete Intersections ◽  
Flag Manifolds ◽  
Fano Varieties ◽  
Laurent Polynomials ◽  
Toric Degenerations ◽  
Geometric Transitions ◽  
Weak Fano

AbstractFor an appropriate class of Fano complete intersections in toric varieties, we prove that there is a concrete relationship between degenerations to speciûc toric subvarieties and expressions for Givental's Landau–Ginzburg models as Laurent polynomials. As a result, we show that Fano varieties presented as complete intersections in partial flag manifolds admit degenerations to Gorenstein toric weak Fano varieties, and their Givental Landau–Ginzburg models can be expressed as corresponding Laurent polynomials.We also use this to show that all of the Laurent polynomials obtained by Coates, Kasprzyk and Prince by the so–called Przyjalkowski method correspond to toric degenerations of the corresponding Fano variety. We discuss applications to geometric transitions of Calabi–Yau varieties.

scholarly journals Invariant generalized complex geometry on maximal flag manifolds and their moduli

2021 ◽  
pp. 104108
Author(s):  
Elizabeth Gasparim ◽  
Fabricio Valencia ◽  
Carlos Varea
Keyword(s):  
Complex Geometry ◽  
Flag Manifolds ◽  
Generalized Complex

Variational results on flag manifolds: Harmonic maps, geodesics and Einstein metrics

2011 ◽  
Vol 10 (2) ◽  
pp. 307-325 ◽  
Author(s):  
Caio J. C. Negreiros ◽  
Lino Grama ◽  
Neiton P. da Silva
Keyword(s):  
Einstein Metrics ◽  
Harmonic Maps ◽  
Flag Manifolds

Vector fields on real flag manifolds

1985 ◽  
Vol 3 (2) ◽  
pp. 173-184 ◽  
Author(s):  
Július Korbaš
Keyword(s):  
Vector Fields ◽  
Flag Manifolds

scholarly journals On Harder-Narasimhan strata in flag manifolds

2005 ◽  
Vol 252 (1) ◽  
pp. 209-222
Author(s):  
Sascha Orlik
Keyword(s):  
Flag Manifolds
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