On the Calculation of the Special Geometry for a Calabi—Yau Loop Manifold and Two Constructions of the Mirror Manifold

JETP Letters ◽  
2020 ◽  
Vol 112 (5) ◽  
pp. 263-268
Author(s):  
A. A. Artem’ev ◽  
I. V. Kochergin
Keyword(s):  
Special Geometry

scholarly journals Manin Involutions for Elliptic Pencils and Discrete Integrable Systems

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Matteo Petrera ◽  
Yuri B. Suris ◽  
Kangning Wei ◽  
René Zander
Keyword(s):  
Integrable Systems ◽  
Geometric Description ◽  
Discrete Integrable Systems ◽  
Birational Maps ◽  
Base Points ◽  
Special Geometry ◽  
Low Degree ◽  
Geometric Study

AbstractWe contribute to the algebraic-geometric study of discrete integrable systems generated by planar birational maps: (a) we find geometric description of Manin involutions for elliptic pencils consisting of curves of higher degree, birationally equivalent to cubic pencils (Halphen pencils of index 1), and (b) we characterize special geometry of base points ensuring that certain compositions of Manin involutions are integrable maps of low degree (quadratic Cremona maps). In particular, we identify some integrable Kahan discretizations as compositions of Manin involutions for elliptic pencils of higher degree.

Chemical reactors of special geometry for the precipitation of mineral particles

2000 ◽  
Vol 78 (4) ◽  
pp. 650-662 ◽  
Author(s):  
Jean-Marc Rousseaux ◽  
Hervé Muhr ◽  
Edouard Plasari
Keyword(s):  
Chemical Reactors ◽  
Mineral Particles ◽  
Special Geometry

scholarly journals Freudenthal duality and generalized special geometry

2011 ◽  
Vol 701 (5) ◽  
pp. 640-645 ◽  
Author(s):  
Sergio Ferrara ◽  
Alessio Marrani ◽  
Armen Yeranyan
Keyword(s):  
Special Geometry

Real special geometry

2015 ◽  
pp. 923-927
Author(s):  
Tomas Ortin
Keyword(s):  
Special Geometry

scholarly journals Homogeneous special geometry

1996 ◽  
Vol 1 (4) ◽  
pp. 337-373 ◽  
Author(s):  
V. Cortés
Keyword(s):  
Special Geometry

scholarly journals Special Geometry and Compactification on a Circle

1999 ◽  
Vol 47 (1-3) ◽  
pp. 317-323 ◽  
Author(s):  
B. de Wit ◽  
B. Kleijn ◽  
S. Vandoren
Keyword(s):  
Special Geometry
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