From the 1 of 6 linked papers with an AI index.
5 papers · 1 filter
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…
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…
The birational geometry of moduli of cubic surfaces and cubic surfaces with a line
Sebastian Casalaina-Martin, Samuel Grushevsky, Klaus Hulek
We determine the cones of effective and nef divisors on the toroidal compactification of the ball quotient model of the moduli space of complex cubic surfaces with a chosen line. F…