François Greer

activity

20142020

most citedModular forms from Noether-Lefschetz theory

2 citations · 3 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AG2020

Nodal elliptic curves on K3 surfaces

Nathan Chen, François Greer, Ruijie Yang

Let $(X, L)$ be a general primitively polarized K3 surface with $c_{1} (L)^{2} = 2 g - 2$ for some integer $g \geq 2$ . The Severi variety $V^{L, δ} \subset ∣ L ∣$ is defined to be the locus of…

math.AG2018★ 2 cited

Modular forms from Noether-Lefschetz theory

François Greer

We enumerate smooth rational curves on very general Weierstrass fibrations over hypersurfaces in projective space. The generating functions for these numbers lie in the ring of cla…

math.AG2017

Counting Curves on a Weierstrass Model

Francois Greer

Let $X \to P^{2}$ be the elliptic Calabi-Yau threefold given by a general Weierstrass equation. We answer the enumerative question of how many discrete rational curves lie ove…

math.AG2014

Picard groups on moduli of K3 surfaces with Mukai models

Francois Greer, Zhiyuan Li, Zhiyu Tian

We discuss the Picard group of moduli space $K_{g}$ of quasi-polarized K3 surfaces of genus $g \leq 12$ and $g \neq = 11$ . In this range, $K_{g}$ is unirational and a g…