6 papers
Cohomology ring of the strata of holomorphic differentials of genus 3
Prabhat Devkota, Myeongjae Lee
We prove that the rational Chow ring of every connected component of the multi-scale compactifications of the genus three strata and $\mathcal{H}…
Complete classification of algebraically primitive Teichmüller curves in
Myeongjae Lee
We give a complete classification of algebraically primitive Teichmüller curves in for . These curves are precisely those generated by…
Ends of the strata of differentials
Benjamin Dozier, Samuel Grushevsky, Myeongjae Lee
We enumerate the ends of each stratum of meromorphic 1-forms on Riemann surfaces with prescribed multiplicities of zeroes and poles. Our proof uses degeneration techniques based on…
Connected components of generalized strata of meromorphic differentials with residue conditions
Myeongjae Lee, Yiu Man Wong
Generalized strata of meromorphic differentials are loci within the usual strata of differentials where certain sets of residues sum to zero. They naturally appear in the boundary…
One-dimensional strata of residueless meromorphic differentials
Myeongjae Lee, Guillaume Tahar
In projectivized strata of meromorphic -forms on elliptic curves with only one zero, the locus of residueless differentials is a complex curve endowed with a canonical complex p…
Connected components of strata of residueless meromorphic differentials
Myeongjae Lee
Generalized strata of meromorphic differentials are loci in the usual strata of differentials, where certain sets of residues sum up to zero. They appear naturally in the boundary…