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Results tagged with log-geometry
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Log structures, semistable degenerations, log crystalline cohomology, log de Rham cohomology, log smoothness, log Gromov-Witten theory
5
votes
A log structure on the moduli space of curves
As Piotr Achinger suggested in a comment, your log moduli space is the direct product of $M_{g,n}$ with the log point $\operatorname{Spec}(\mathbb{N}^n \to \mathbb{C})$ given by the monoid map $(x_1,\ …
- 45.7k
5
votes
What are Log Stacks
Option 1 is definitely not the definition - in the scheme setting, it doesn't yield log structures on the divisors in question, and you don't get log points. A.J. mentioned that you probably meant to …
- 45.7k
2
votes
Logarithmic structures on moduli of elliptic curves over Z
If you're working away from the primes dividing the level, your curves have semi-stable reduction, and have canonical log-smooth log structures. For any pair (X,D), where X is smooth and D is a divis …
- 45.7k