From the 1 of 5 linked papers with an AI index.
5 papers
A complete curve of genus 10 in the moduli space of curves of genus 3 and related questions
Samuel Grushevsky, Christophe Ritzenthaler
The paper proves that there exists a complete algebraic curve of genus 105 inside the moduli space of smooth projective curves of genus 3 over the complex numbers.
Compact Subvarieties of the Moduli Space of Complex Abelian Varieties
Samuel Grushevsky, Gabriele Mondello, Riccardo Salvati Manni +1
We determine the maximal dimension of compact subvarieties of , the moduli space of complex principally polarized abelian varieties of dimension , and the maximal…
A tale of two moduli spaces: logarithmic and multi-scale differentials
Dawei Chen, Samuel Grushevsky, David Holmes +3
Multi-scale differentials were constructed by M.~Bainbridge, D.~Chen, Q.~Gendron, S.~Grushevsky, and M.~Möller, from the viewpoint of flat and complex geometry, for the purpose of…
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…
The moduli space of multi-scale differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
We construct a compactification of the moduli spaces of abelian differentials on Riemann surfaces with prescribed zeroes and poles. This compactification, called the moduli space o…