Jos'e Ignacio Y'anez

activity

20162026

most citedBirational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces

8 citations · 11 across the 8 of their papers we have counts for

collaborators

10 papers

math.AG2026

Computing Cox rings via the cone conjecture

Tomoki Oda, José Ignacio Yáñez, Juan Pablo Zúñiga

We initiate a program to study the Cox ring of Calabi-Yau varieties, employing the notion of Morrison-Kawamata dream spaces. In this setting, we establish an analogue of the Hu-Kee…

math.AG2025

Bott-Chern complexity of Kähler pairs

Christopher Hacon, Joaquín Moraga, José Ignacio Yáñez

We introduce the Bott-Chern complexity of a compact Kähler pair $(X, B)$ . This invariant compares $dim (X)$ , $dim H_{BC}^{1, 1} (X)$ and the sum of the coefficients of $B$ . When…

math.AG2025

Complexity one varieties are cluster type

Joshua Enwright, Jennifer Li, José Ignacio Yáñez

The complexity of a Calabi-Yau pair $(X, B)$ is an invariant that relates the dimension of $X$ , the rank of the group of divisors, and the coefficients of $B$ . If the complexity is…

math.AG2024

Calabi-Yau pairs of complexity two

Joaquín Moraga, José Ignacio Yáñez

A Calabi-Yau pair of index one and complexity zero is toric. Furthermore, a Calabi-Yau pair of index one and complexity one is of cluster type. In this article, we study Calabi-Yau…

math.AG2024

Polarized endomorphisms of log Calabi-Yau pairs

Joaquín Moraga, José Ignacio Yáñez, Wern Yeong

Let $(X, Δ)$ be a dlt log Calabi-Yau pair admitting a polarized endomorphism. We show that $(X, Δ)$ is a finite quotient of a toric log Calabi-Yau fibration over an abelian variety.…

math.AG2024

Polarized endomorphisms of Fano varieties with complements

Joaquín Moraga, José Ignacio Yáñez, Wern Yeong

Let $X$ be a Fano type variety and $(X, Δ)$ be a log Calabi-Yau pair with $Δ$ a Weil divisor. If $(X, Δ)$ admits a polarized endomorphism, then we show that $(X, Δ)$ is a finite quoti…

math.AG2023

MMP for Generalized Pairs on Kähler 3-folds

Omprokash Das, Christopher Hacon, José Ignacio Yáñez

In this article we define generalized pairs $(X, B + β)$ where $X$ is an analytic variety and $β$ is a b-(1,1) current. We then prove that almost all standard r…

math.AG2022

Movable cones of complete intersections of multidegree one on products of projective spaces

Michael Hoff, Isabel Stenger, José Ignacio Yáñez

We study Calabi-Yau manifolds which are complete intersections of hypersurfaces of multidegree $1$ in an $m$ -fold product of $n$ -dimensional projective spaces. Using the theory of…

math.AG2021★ 8 cited

Birational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces

José Ignacio Yáñez

For a Calabi-Yau manifold $X$ , the Kawamata - Morrison movable cone conjecture connects the convex geometry of the movable cone $Mov (X)$ to the birational autom…

math.AG2016★ 3 cited

Characterization of Kollár surfaces

Giancarlo Urzúa, José Ignacio Yáñez

Kollár introduced in [Ko08] the surfaces $(x_{1}^{a_{1}} x_{2} + x_{2}^{a_{2}} x_{3} + x_{3}^{a_{3}} x_{4} + x_{4}^{a_{4}} x_{1} = 0) \subset P (w_{1}, w_{2}, w_{3}, w_{4})$ where $w_{i} = W_{i} / w^{*}$ , $W_i=a_{i+1}a_{i+2}a_{i…