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Title
Japanese: 
English:The dual varieties of Segre quartic surfaces 
Author
Japanese: 本多宣博.  
English: Nobuhiro Honda.  
Language English 
Journal/Book name
Japanese: 
English: 
Volume, Number, Page        
Published date 2021 
Publisher
Japanese: 
English: 
Conference name
Japanese: 
English:Cohomology of Complex Manifolds and Special Structures - II 
Conference site
Japanese: 
English: 
Official URL https://sites.google.com/fbk.eu/cirm/cohomology-of-complex-manifolds-2021?authuser=0
 
Abstract Segre surfaces are quartic surfaces in CP^4 and they are anti-canonical models of smooth del-Pezzo surfaces of degree four. We characterize these surfaces as minitwistor spaces by a numerical invariant. By a kind of Penrose correspondence, this means that the smooth locus of the dual varieties of Segre surfaces admit an Einstein-Weyl structure. We investigate these dual varieties in detail, possibly with some emphasize on the locus which parameterizes cuspidal rational curves. This is partially joint work with my student Ayato Minagawa.

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