The Geometry of the Compactification of the Hurwitz Scheme
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In this paper, the authors present a table of table of tables of this paper : Table of Table 1.3.1.1-3.2.0.1]Abstract:
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Twisted Bundles and Admissible Covers
TL;DR: In this article, the authors studied the structure of the stacks of twisted stable maps to the classifying stack of a finite group G, which they called the stack of twisted G-covers, or twisted g-bundles.
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Twisted bundles and admissible covers
TL;DR: In this article, the moduli space of connected admissible G-covers of genus g is shown to be a smooth, fine modulus space, which is a Galois cover of the modulus of stable curves with abelian and non-abelian level structure.
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Toric degenerations of toric varieties and tropical curves
Takeo Nishinou,Bernd Siebert +1 more
TL;DR: In this paper, it was shown that rational curves on a complete toric variety which are in general position relative to the toric prime divisors coincide with the counting of certain tropical curves.
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Stable logarithmic maps to Deligne-Faltings pairs II
Dan Abramovich,Qile Chen +1 more
TL;DR: In this paper, the existence of an algebraic stack of logarithmic maps for all generalized Deligne-Faltings structures (in particular simple normal crossings divisors) from the simplest case with characteristic generated by $\mathbb{N}$ (essentially the smooth divisor case).
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Toric degenerations of toric varieties and tropical curves
Takeo Nishinou,Bernd Siebert +1 more
TL;DR: In this paper, it was shown that rational curves on a complete toric variety that are in general position to the toric prime divisors coincide with the counting of certain tropical curves.
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Principles of Algebraic Geometry
Phillip Griffiths,Joe Harris +1 more
TL;DR: In this paper, a comprehensive, self-contained treatment of complex manifold theory is presented, focusing on results applicable to projective varieties, and including discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex.
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The irreducibility of the space of curves of given genus
Pierre Deligne,David Mumford +1 more
TL;DR: In this article, the authors implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).