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20012026
most citedOn the Fano variety of linear spaces contained in two odd-dimensional quadrics

18 citations · 73 across the 30 of their papers we have counts for

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31 papers

math.AG2026

On the geometry of Fano varieties with Lefschetz defect 2

Cinzia Casagrande

Let X be a smooth, complex Fano variety, and delta(X) its Lefschetz defect. It is known that if delta(X) is at least 4, then X is isomorphic to a product SxT where S is a surface,…

math.AG2024

Classifying Fano 4-folds with a rational fibration onto a 3-fold

Cinzia Casagrande, Saverio Andrea Secci

We study smooth, complex Fano 4-folds X with a rational contraction onto a 3-fold, namely a rational map X-->Y that factors as a sequence of flips X-->X' followed by a surjective m…

math.AG2023

Fano 4-folds with are products of surfaces

Cinzia Casagrande

Let X be a smooth, complex Fano 4-fold, and rho(X) its Picard number. We show that if rho(X)>12, then X is a product of del Pezzo surfaces. The proof relies on a careful study of d…

math.AG2022

The Lefschetz defect of Fano varieties

Cinzia Casagrande

This note is a short survey on the Lefschetz defect, an invariant of smooth Fano varieties that has been recently introduced; it is related to the Picard number rho(X) of X, and to…

math.AG2022★ 3 cited

Fano manifolds with Lefschetz defect 3

C. Casagrande, E. A. Romano, S. A. Secci

Let X be a smooth, complex Fano variety, and delta(X) its Lefschetz defect. It is known that if delta(X) is at least 4, then X is isomorphic to a product SxT, where dim T=dim X-2.…

math.AG2021

Fano 4-folds with a small contraction

C. Casagrande

Let X be a smooth complex Fano 4-fold. We show that if X has a small elementary contraction, then the Picard number rho(X) of X is at most 12. This result is based on a careful stu…