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Modular compactifications of the space of pointed elliptic curves II
| Content Provider | Semantic Scholar |
|---|---|
| Author | Smyth, David Ishii |
| Copyright Year | 2011 |
| Abstract | We introduce a sequence of isolated curve singularities, the elliptic m-fold points, and an associated sequence of stability conditions, generalizing the usual definition of Deligne-Mumford stability. For every pair of integers 1 ≤ m < n, we prove that the moduli problem of n-pointed m-stable curves of arithmetic genus one is representable by a proper irreducible Deligne-Mumford stackM1,n(m). We also consider weighted variants of these stability conditions, and construct the corresponding moduli stacksM1,A(m). In forthcoming work, we will prove that these stacks have projective coarse moduli and use the resulting spaces to give a complete description of the log minimal model program for M1,n. |
| Starting Page | 877 |
| Ending Page | 913 |
| Page Count | 37 |
| File Format | PDF HTM / HTML |
| DOI | 10.1112/S0010437X10005014 |
| Volume Number | 147 |
| Alternate Webpage(s) | http://maths-people.anu.edu.au/~smythd/papers/ModularCompactM_%7B1,A%7DPartIRevise.pdf |
| Alternate Webpage(s) | http://maths-people.anu.edu.au/~smythd/papers/ModularCompactM_%7B1,A%7DPartII.5.pdf |
| Alternate Webpage(s) | https://doi.org/10.1112/S0010437X10005014 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
