Eric Jovinelly

activity

20222026

M ˉ_{0, 7}

and Differences over Characteristic 2

1 citations · 2 across the 8 of their papers we have counts for

collaborators

10 papers

math.AG2026

Finding large families of rational curves through Bend-and-Break

Eric Jovinelly, Brian Lehmann, Eric Riedl

We present a new construction that allows us to break off large-degree rational curves from families of higher genus curves. Our construction and results deepen the connection betw…

math.AG2026

Stability of normal bundles of Brill--Noether curves in $P^{4}$

Izzet Coskun, Eric Jovinelly, Eric Larson

We prove that a general Brill--Noether curve $C$ of genus $g \geq 2$ and degree $d$ in $P^{4}$ has stable normal bundle $N_{C}$ if and only if $$(g, d) \notin \{(2,6), (3,7),…

math.AG2026

A characterization of projective space via lengths of extremal rays

Osamu Fujino, Eric Jovinelly, Brian Lehmann +1

We prove a new characterization of complex projective space using lengths of extremal rays.

math.AG2025

Free curves and fundamental groups

Eric Jovinelly, Brian Lehmann, Eric Riedl

We show that klt Fano varieties and certain lc Fano varieties contain free higher-genus curves in their smooth loci. Our methods also allow us to find free curves on varieties in p…

math.AG2025

Optimal bounds in Bend-and-Break

Eric Jovinelly, Brian Lehmann, Eric Riedl

We improve the Bend-and-Break result of Miyaoka and Mori by establishing the optimal degree bound. Our result also yields optimal bounds on lengths of extremal rays of log canonica…

math.AG2025

The integral chow ring of $M_{2}^{c t}$

Joseph Helfer, Eric Jovinelly, Eric Larson +2

This paper computes the integral Chow ring of the moduli space $M_{2}^{c t}$ of stable genus 2 curves of compact type. This is done by excising boundary strata from $M ˉ_{2}$ one-by-…

math.AG2024

Rational Curves on Coindex 3 Fano Varieties

Eric Jovinelly, Fumiya Okamura

We describe the moduli space of rational curves on smooth Fano varieties of coindex 3. For varieties of dimension 5 or greater, we prove the moduli space has a single irreducible c…

math.AG2022

Rational Contractions of Fiber Type on $M_{0, 6}$

Eric Jovinelly

We identify a set of initial rational contractions of fiber type on $M_{0, 6}$ . Our proof uses a new algorithm we develop for verifying descriptions of the cone of effect…

math.AG2022★ 1 cited

Geometric Manin's Conjecture for Fano 3-Folds

Andrew Burke, Eric Jovinelly

We classify families of free rational curves on all smooth Fano threefolds over the complex numbers. In particular, we prove the family of very free rational curves representing an…

math.AG2022★ 1 cited

Extreme Divisors on $M ˉ_{0, 7}$ and Differences over Characteristic 2

Mathieu Dutour Sikirić, Eric Jovinelly

We find 101,052 new extreme divisors on $M ˉ_{0, 7}$ (in 31 $S_{7}$ -orbits) and millions of extreme nef curves over characteristic 0. Over characteristic 2, we identify two more $…

Finding large families of rational curves through Bend-and-Break

Stability of normal bundles of Brill--Noether curves in P4

A characterization of projective space via lengths of extremal rays

Free curves and fundamental groups

Optimal bounds in Bend-and-Break

The integral chow ring of M2ct​

Rational Curves on Coindex 3 Fano Varieties

Rational Contractions of Fiber Type on M0,6​

Geometric Manin's Conjecture for Fano 3-Folds

Extreme Divisors on Mˉ0,7​ and Differences over Characteristic 2

Stability of normal bundles of Brill--Noether curves in $P^{4}$

The integral chow ring of $M_{2}^{c t}$

Rational Contractions of Fiber Type on $M_{0, 6}$

Extreme Divisors on $M ˉ_{0, 7}$ and Differences over Characteristic 2