Line bundles on the moduli space of parabolic connections over a compact Riemann surface
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2022.108360
Abstract: Let X be a compact Riemann surface of genus g ≥ 3 and S a finite subset of X . Let ξ be fixed a holomorphic line bundle over X of degree d. LetMpc(r, d,… read more here.
Keywords: moduli space; compact riemann; riemann surface; line ... See more keywords
Transmission of harmonic functions through quasicircles on compact Riemann surfaces
Sign Up to like & getrecommendations! Published in 2020 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2020.4559
Abstract: Let $R$ be a compact surface and let $Γ$ be a Jordan curve which separates $R$ into two connected components $Σ_1$ and $Σ_2$. A harmonic function $h_1$ on $Σ_1$ of bounded Dirichlet norm has boundary… read more here.
Keywords: harmonic functions; quasicircles compact; compact riemann; dirichlet ... See more keywords