We show that the skeleton of the Deligne-Mumford-Knudsen moduli stack of stable curves is
naturally identified with the moduli space of extended tropical curves, and that this is …

We introduce a new method to evaluate algebraic integrals over the simplex numerically.
This new approach employs techniques from tropical geometry and exceeds the capabilities …

We contribute to the foundations of tropical geometry with a view toward formulating tropical
moduli problems, and with the moduli space of curves as our main example. We propose a …

We study the relationship between tropical and classical Hurwitz moduli spaces. Following
recent work of Abramovich, Caporaso and Payne, we outline a tropicalization for the moduli …

We compute the top-weight rational cohomology of 𝒜 g for g= 5, 6 and 7, and we give some
vanishing results for the top-weight rational cohomology of 𝒜 8, 𝒜 9 and 𝒜 1 0. When g= 5 …

We show that the skeleton of the Deligne-Mumford-Knudsen moduli stack of stable curves is
naturally identified with the moduli space of extended tropical curves, and that this is …

We provide a uniform vanishing result for the graded components of the finite length Koszul
module associated to a subspace K⊆∧ 2 V as well as a sharp upper bound for its Hilbert …

The universal Kummer threefold is a 9-dimensional variety that represents the total space of
the 6-dimensional family of Kummer threefolds in. We compute defining polynomials for …

Topology of the tropical moduli spaces $$\Delta _{2,n}$$ | Beiträge zur Algebra und Geometrie
/ Contributions to Algebra and Geometry Skip to main content SpringerLink Account Menu …

Let X be an algebraic variety and let S be a tropical variety associated to X. We study the
tropicalization map from the moduli space of stable maps into X to the moduli space of …