5 papers
Stability of normal bundles of Brill--Noether curves in
Izzet Coskun, Eric Jovinelly, Eric Larson
We prove that a general Brill--Noether curve of genus and degree in has stable normal bundle if and only if $$(g, d) \notin \{(2,6), (3,7),…
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.
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…
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…
The integral chow ring of
Joseph Helfer, Eric Jovinelly, Eric Larson +2
This paper computes the integral Chow ring of the moduli space of stable genus 2 curves of compact type. This is done by excising boundary strata from one-by-…