scholarly journals The Kodaira dimension of moduli spaces of curves with marked points

2003 ◽  
Vol 125 (1) ◽  
pp. 105-138 ◽  
Author(s):  
Adam Logan
Keyword(s):  
Moduli Spaces ◽  
Kodaira Dimension ◽  
Moduli Spaces Of Curves ◽  
Marked Points

scholarly journals A computational approach to the ample cone of moduli spaces of curves

2018 ◽  
Vol 28 (01) ◽  
pp. 37-51
Author(s):  
Claudio Fontanari ◽  
Riccardo Ghiloni ◽  
Paolo Lella
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Rational Curves ◽  
Computational Approach ◽  
Alternate Proof ◽  
Moduli Spaces Of Curves ◽  
Ample Cone ◽  
Marked Points

We present an alternate proof, much quicker and more straightforward than the original one, of the celebrated F-conjecture on the ample cone of the moduli space [Formula: see text] of stable rational curves with [Formula: see text] marked points in the case [Formula: see text].

scholarly journals A MODULI STACK OF TROPICAL CURVES

2020 ◽  
Vol 8 ◽  
Author(s):  
RENZO CAVALIERI ◽  
MELODY CHAN ◽  
MARTIN ULIRSCH ◽  
JONATHAN WISE
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Algebraic Curves ◽  
Tropical Geometry ◽  
Moduli Space Of Curves ◽  
Tropical Curves ◽  
Moduli Spaces Of Curves ◽  
Moduli Stack ◽  
Marked Points ◽  
Moduli Problems

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 moduli functor for the moduli space of curves and show that it is representable by a geometric stack over the category of rational polyhedral cones. In this framework, the natural forgetful morphisms between moduli spaces of curves with marked points function as universal curves. Our approach to tropical geometry permits tropical moduli problems—moduli of curves or otherwise—to be extended to logarithmic schemes. We use this to construct a smooth tropicalization morphism from the moduli space of algebraic curves to the moduli space of tropical curves, and we show that this morphism commutes with all of the tautological morphisms.

scholarly journals Moduli spaces of curves with homology chains and c = 1 matrix models

1994 ◽  
Vol 327 (3-4) ◽  
pp. 221-225 ◽  
Author(s):  
A.S. Cattaneo ◽  
A. Gamba ◽  
M. Martellini
Keyword(s):  
Matrix Models ◽  
Moduli Spaces ◽  
Moduli Spaces Of Curves

scholarly journals A dilogarithm identity on moduli spaces of curves

2014 ◽  
Vol 97 (2) ◽  
pp. 255-274 ◽  
Author(s):  
Feng Luo ◽  
Ser Peow Tan
Keyword(s):  
Moduli Spaces ◽  
Moduli Spaces Of Curves
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