4 papers
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.GT2023
An exotic 5RP^2 in the 4-sphere
Gordana Matić, Ferit Öztürk, Javier Reyes +2
We show an example of an embedded copy of 5RP^2 in the four-sphere which is topologically standard but smoothly knotted, i.e. smoothly not isotopic to the standard embedding.
math.AG2022
Exotic surfaces
Javier Reyes, Giancarlo Urzúa
We construct the first exotic 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 surfaces for
Javier Reyes, Giancarlo Urzúa
We prove the existence of -dimensional families of simply-connected surfaces with ample canonical class, , and , and we study the relation with…