dc.contributor.author | Ascher, Kenneth | |
dc.contributor.author | Bejleri, Dori | |
dc.date.accessioned | 2021-09-20T17:16:57Z | |
dc.date.available | 2021-09-20T17:16:57Z | |
dc.date.issued | 2018-05-26 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/131410 | |
dc.description.abstract | Abstract
In this paper, we use the theory of twisted stable maps to construct compactifications of the moduli space of pairs
$$(X \rightarrow C, S + F)$$
(
X
→
C
,
S
+
F
)
where
$$X \rightarrow C$$
X
→
C
is a fibered surface, S is a sum of sections, F is a sum of marked fibers, and
$$(X,S+F)$$
(
X
,
S
+
F
)
is a stable pair in the sense of the minimal model program. This generalizes the work of Abramovich–Vistoli, who compactified the moduli space of fibered surfaces with no marked fibers. Furthermore, we compare our compactification to Alexeev’s space of stable maps and the KSBA compactification. As an application, we describe the boundary of a compactification of the moduli space of elliptic surfaces. | en_US |
dc.publisher | Springer Berlin Heidelberg | en_US |
dc.relation.isversionof | https://doi.org/10.1007/s00208-018-1697-5 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | Springer Berlin Heidelberg | en_US |
dc.title | Moduli of fibered surface pairs from twisted stable maps | en_US |
dc.type | Article | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2020-09-24T20:46:44Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | Springer-Verlag GmbH Germany, part of Springer Nature | |
dspace.embargo.terms | Y | |
dspace.date.submission | 2020-09-24T20:46:43Z | |
mit.license | PUBLISHER_POLICY | |
mit.metadata.status | Authority Work and Publication Information Needed | |