8 citations · 15 across the 7 of their papers we have counts for
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Bi-algebraic geometry of strata of differentials in genus zero
Frederik Benirschke
We study algebraic subvarieties of strata of differentials in genus zero satisfying algebraic relations among periods. The main results are Ax-Schanuel and André-Oort-type theorems…
Totally geodesic subvarieties of the moduli space of curves and linear systems
Frederik Benirschke
We construct a linear system on a general curve in a totally geodesic subvariety of the moduli space of curves. As a consequence, we obtain rank bounds for totally geodesic subvari…
Tautological classes of strata of exact differentials
Frederik Benirschke
Strata of exact differentials are moduli spaces for differentials on Riemann surfaces with vanishing absolute periods. Our main result is that classes of closures of strata of exac…
The closure of double ramification loci via strata of exact differentials
Frederik Benirschke
Double ramification loci, also known as strata of -differentials, are algebraic subvarieties of the moduli space of smooth curves parametrizing Riemann surfaces such that there…
Equations of linear subvarieties of strata of differentials
Frederik Benirschke, Benjamin Dozier, Samuel Grushevsky
For a linear subvariety of a stratum of meromorphic differentials, we investigate its closure in the multi-scale compactification constructed by Bainbridge-Chen-Gendron-Grushev…
The boundary of linear subvarieties
Frederik Benirschke
We describe the boundary of linear subvarieties in the moduli space of multi-scale differentials. Linear subvarieties are algebraic subvarieties of strata of (possibly) meromorphic…