Cohomological Rigidity for Smooth Toric Fano Varieties of Picard Number Two

Cohomological Rigidity for Smooth Toric Fano Varieties of Picard Number Two

The -cohomological rigidity conjecture states that two smooth toric Fano varieties are isomorphic as varieties if there is a -preserving isomorphism between their integral cohomology rings. In this paper, we confirm the conjecture for smooth toric Fano varieties of Picard number .

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Bibliographische Detailangaben
Hauptverfasser: Cho, Yunhyung, Lee, Eunjeong, Masuda, Mikiya, Park, Seonjeong
Format: Tagungsbericht
Sprache:eng
Schlagworte:
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Homology
Isomorphism
Mathematics
Mathematics and Statistics
Rigidity
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Beschreibung
Zusammenfassung:The -cohomological rigidity conjecture states that two smooth toric Fano varieties are isomorphic as varieties if there is a -preserving isomorphism between their integral cohomology rings. In this paper, we confirm the conjecture for smooth toric Fano varieties of Picard number .
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543824040163