Nolan Schock

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math.AG2023

The $W (E_{6})$ -invariant birational geometry of the moduli space of marked cubic surfaces

Nolan Schock

The moduli space $Y = Y (E_{6})$ of marked cubic surfaces is one of the most classical moduli spaces in algebraic geometry, dating back to the nineteenth century work of Cayley and Sa…

math.AG2023

Moduli of weighted stable marked cubic surfaces

Nolan Schock

Let $Y (E_{n})$ denote the moduli space of pairs $(S, B)$ where $S$ is a del Pezzo surface of degree $9 - n$ and $B$ is the labeled (marked) sum of its finitely many lines. When $n = 6$ , $…

math.AG2020

Intersection theory of the stable pair compactification of the moduli space of six lines in the plane

Nolan Schock

We describe sequences of blowups of $M_{0, 5} \times M_{0, 5}$ and $P^{2} \times P^{2}$ yielding a small resolution of the stable pair compactific…

The W(E6​)-invariant birational geometry of the moduli space of marked cubic surfaces

Moduli of weighted stable marked cubic surfaces

Intersection theory of the stable pair compactification of the moduli space of six lines in the plane

The $W (E_{6})$ -invariant birational geometry of the moduli space of marked cubic surfaces