Anthony Várilly-Alvarado

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20232026

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math.AG2025

The Degree of Irrationality of del Pezzo Surfaces

Adam Logan, Anthony Várilly-Alvarado, David Zureick-Brown

For an irreducible variety $X$ over a field $k$ , the degree of irrationality $irr_{k} X$ is the minimal degree of a dominant rational map $X \dashrightarrow \mathbb{P}…

math.AG2025

Moduli of lattice-polarized K3 surfaces and boundedness of Brauer groups

Danny Bragg, Emma Brakkee, Anthony Várilly-Alvarado

Inspired by constructions over the complex numbers of Dolgachev and Alexeev-Engel, we define moduli stacks $M_{(L, A) / Z}$ of lattice-polarized K3 surfac…