Bounds on the Picard rank of toric Fano varieties with minimal curve constraints

We study the Picard rank of smooth toric Fano varieties possessing families of minimal rational curves of given degree. We discuss variants of a conjecture of Chen-Fu-Hwang and prove a version of their statement that recovers the original conjecture in sufficiently high dimension. We also prove new...

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Bibliographische Detailangaben

Hauptverfasser:	Beheshti, Roya, Wormleighton, Ben
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry
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