Javier Reyes

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20212026

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math.AG2026

Stacky Framework for the Classification of Singular Fibers in Fibered Surfaces

Javier Reyes

We develop a strategy for the classification of singular fibers in smooth fibered surfaces by exploiting the fact that, in the tame case, a fibration with smooth general fiber of g…

math.AG2022

Exotic surfaces

Javier Reyes, Giancarlo Urzúa

We construct the first exotic $C P^{2} #4 C P^{2}$ by means of rational blowdowns. Similarly, we construct the first exotic $3\mathbb C \ma…

math.AG2021

Rational configurations in K3 surfaces and simply-connected $p_{g} = 1$ surfaces for $K^{2} = 1, 2, 3, 4, 5, 6, 7, 8, 9$

Javier Reyes, Giancarlo Urzúa

We prove the existence of $(20 - 2 K^{2})$ -dimensional families of simply-connected surfaces with ample canonical class, $p_{g} = 1$ , and $1 \leq K^{2} \leq 9$ , and we study the relation with…

Stacky Framework for the Classification of Singular Fibers in Fibered Surfaces

Exotic surfaces

Rational configurations in K3 surfaces and simply-connected pg​=1 surfaces for K2=1,2,3,4,5,6,7,8,9

Rational configurations in K3 surfaces and simply-connected $p_{g} = 1$ surfaces for $K^{2} = 1, 2, 3, 4, 5, 6, 7, 8, 9$