Julie Rana

activity

20142023

most citedThe Craighero-Gattazzo surface is simply-connected

6 citations · 9 across the 6 of their papers we have counts for

collaborators

8 papers

math.AG2023

Optimal bounds for many T-singularities in stable surfaces

Fernando Figueroa, Julie Rana, Giancarlo Urzúa

We effectively bound T-singularities on non-rational projective surfaces with an arbitrary amount of T-singularities and ample canonical class. This fully generalizes the previous…

math.AG2022

Standard stable Horikawa surfaces

Julie Rana, Sönke Rollenske

We consider the stable compactification $H ˉ$ of the moduli space of Horikawa surfaces with $K_{X}^{2} = 2 p_{g} (X) - 4$ . When $K_{X}^{2} = 8 ℓ$ we show that the closures of th…

math.AG2021

On T-divisors and intersections in $M_{1, 3}$

Stephen Coughlan, Marco Franciosi, Rita Pardini +2

The moduli space of stable surfaces with $K_{X}^{2} = 1$ and $χ (X) = 3$ has at least two irreducible components that contain surfaces with T-singularities. We show that the two known c…

math.AG2020

I-surfaces with one T-singularity

Marco Franciosi, Rita Pardini, Julie Rana +1

We classify normal stable surfaces with $K_{X}^{2} = 1$ , $p_{g} = 2$ and $q = 0$ with a unique singular point which is a non-canonical T-singularity, thus exhibiting two divisors in the ma…

math.AG2017

Optimal bounds for T-singularities in stable surfaces

Julie Rana, Giancarlo Urzúa

We explicitly bound T-singularities on normal projective surfaces $W$ with one singularity, and $K_{W}$ ample. This bound depends only on $K_{W}^{2}$ , and it is optimal when $W$ is not r…

math.AG2017

Equations of $M_{0, n}$

Leonid Monin, Julie Rana

Following work of Keel and Tevelev, we give explicit polynomials in the Cox ring of $P^{1} \times \dots \times P^{n - 3}$ that, conjecturally, determine $\overline{M}_{0…

math.AG2015★ 6 cited

The Craighero-Gattazzo surface is simply-connected

Julie Rana, Jenia Tevelev, Giancarlo Urzúa

We show that the Craighero-Gattazzo surface, the minimal resolution of an explicit complex quintic surface with four elliptic singularities, is simply-connected. This was conjectur…

math.AG2014★ 3 cited

A boundary divisor in the moduli space of stable quintic surfaces