Generalized Mukai conjecture for special Fano varieties
Marco Andreatta, Elena Chierici, Gianluca Occhetta
Abstract
Let X be a Fano variety of dimension n, pseudoindex iX and Picard number ρX. A generalization of a conjecture of Mukai says that ρX(iX-1) n. We prove that the conjecture holds if: a) X has pseudoindex iX n+33 and either has a fiber type extremal contraction or does not have small extremal contractions b) X has dimension five.
Create a lesson
Related papers
The Tate Conjecture for Ordinary Calabi-Yau Threefolds
Lukas Brantner
Weighted, GIT and Néron--Tate heights on genus-two moduli and Jacobians
Sajad Salami
Monodromy of Tate-Linear varieties
Livia Grammatica
On the Cohomology Classes of Certain Eisenstein-Kronecker Forms
Zhixuan Sheng, Jie Zhou
Campana strong approximation on generalised Markoff surfaces
Dasheng Wei
Quillen's local parameter conjecture in dimension four
Yunpeng Li