17 citations · 19 across the 11 of their papers we have counts for
12 papers
Classifying additive smooth Fano toric varieties
Fabián Levicán-Santibáñez, Pedro Montero
Let be an algebraically closed field of characteristic zero. An irreducible algebraic variety over of dimension is called additive if it admits a…
Algebraic cycles of some Fano varieties with Hodge structure of level one
Pedro Montero, Iván Rosas-Soto
We study Chow groups and étale motivic cohomology groups of smooth complete intersections with Hodge structures of level one, classified by Deligne and Rapoport, with particular at…
Concentration Phenomena for Conformal Metrics with Constant -Curvature
Salomón Alarcón, Simón Masnú, Pedro Montero +1
Let be an analytic Riemannian manifold of dimension . In this paper, we consider the so-called constant -curvature equation \[ \varepsilon^4Δ_{g}^2 u -\varepsi…
On a Torelli Principle for automorphisms of Klein hypersurfaces
Víctor González-Aguilera, Alvaro Liendo, Pedro Montero +1
Using a refinement of the differential method introduced by Oguiso and Yu, we provide effective conditions under which the automorphisms of a smooth degree hypersurface of $\ma…
Del Pezzo quintics as equivariant compactifications of vector groups
Adrien Dubouloz, Takashi Kishimoto, Pedro Montero
We study faithful actions with a dense orbit of abelian unipotent groups on quintic del Pezzo varieties over a field of characteristic zero. Such varieties are forms of linear sect…
Projective manifolds whose tangent bundle is Ulrich
Vladimiro Benedetti, Pedro Montero, Yulieth Prieto Montañez +1
In this article, we give numerical restrictions on the Chern classes of Ulrich bundles on higher-dimensional manifolds, which are inspired by the results of Casnati in the case of…
On the liftability of the automorphism group of smooth hypersurfaces of the projective space
Víctor González-Aguilera, Alvaro Liendo, Pedro Montero
Let be a smooth hypersurface of dimension and degree in the projective space given as the zero set of a homogeneous form . If it…
Equivariant compactifications of vector groups with high index
Baohua Fu, Pedro Montero
In this note, we classify smooth equivariant compactifications of which are Fano manifolds with index .
Fano threefolds as equivariant compactifications of the vector group
Zhizhong Huang, Pedro Montero
In this article, we determine all equivariant compactifications of the three-dimensional vector group which are smooth Fano threefolds with Picard number greater o…
A characterization of some Fano 4-folds through conic fibrations
Pedro Montero, Eleonora Anna Romano
We find a characterization for Fano 4-folds with Lefschetz defect : besides the product of two del Pezzo surfaces, they correspond to varieties admitting a conic bundl…
Newton-Okounkov bodies on projective bundles over curves
Pedro Montero
In this article, we study Newton-Okounkov bodies on projective vector bundles over curves. Inspired by Wolfe's estimates used to compute the volume function on these varieties, we…
On singular Fano varieties with a divisor of Picard number one
Pedro Montero
In this paper we study the geometry of mildly singular Fano varieties on which there is an effective prime divisor of Picard number one. Afterwards, we address the case of toric va…