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- W3113298107 abstract "Double ramification loci, also known as strata of $0$-differentials, are algebraic subvarieties of the moduli space of smooth curves parametrizing Riemann surfaces such that there exists a rational function with prescribed ramification over $0$ and $infty$. We describe the closure of double ramification loci inside the Deligne-Mumford compactification in geometric terms. To a rational function we associate its exact differential, which allows us to realize double ramification loci as linear subvarieties of strata of meromorphic differentials. We then obtain a geometric description of the closure using our recent results on the boundary of linear subvarieties. Our approach yields a new way of relating the geometry of loci of rational functions and Teichmuller dynamics. We also compare our results to a different approach using admissible covers." @default.
- W3113298107 created "2020-12-21" @default.
- W3113298107 creator A5038850837 @default.
- W3113298107 date "2020-12-14" @default.
- W3113298107 modified "2023-09-27" @default.
- W3113298107 title "The closure of double ramification loci via strata of exact differentials" @default.
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