arXiv subjects

Elena Chierici

Publications and source records attributed to Elena Chierici.

4 recordsLinked to original sources

arXiv2008

Fano fivefolds of index two with blow-up structure

We classify Fano fivefolds of index two which are blow-ups of smooth manifolds along a smooth center.

math.AG↗

arXiv2007

Fano manifolds and blow-ups of low-dimensional subvarieties

We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.

math.AG↗

arXiv2007

The cone of curves of Fano varieties of coindex four

We classify the cones of curves of Fano varieties of dimension greater or equal than five and (pseudo)index dim X -3, describing the number and type of their extremal rays.

math.AG↗

arXiv2003

Generalized Mukai conjecture for special Fano varieties

Let X be a Fano variety of dimension n, pseudoindex i_X and Picard number ρ_X. A generalization of a conjecture of Mukai says that ρ_X(i_X-1)\le n. We prove that the conjecture holds if: a) X has pseudoindex i_X \ge \frac{n+3}{3} and either has a fiber type extremal contraction or does not have small extremal contractions b) X has dimension five.

math.AG↗