LOG SMOOTH DEFORMATION AND MODULI OF LOG SMOOTH CURVES
By Fumiharu Kato. 2000
49 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ea78424dfe71e36a9dac4e56e728ae7ecf115caa
How researchers see this paper
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In Geometry and Topology
- Mark Gross
- D. Abramovich
- Bernd S Siebert
- Dhruv Ranganathan
- Qile Chen
- T. Nishinou
- Jonathan Wise
- Helge Ruddat
In Mathematical Physics
- Mark Gross
- Bernd S Siebert
- D. Abramovich
- Qile Chen
- T. Nishinou
- Dhruv Ranganathan
- Helge Ruddat
- Jonathan Wise
Citations in the corpus
- Toric degenerations of toric varieties and tropical curves (2004, methodology): “troduction into log geometry, covering most aspects that concern us also here. We therefore use freely the notions of this theory. All log schemes are fine, saturated and integral. To use results from [KaF2] we need to work with ´etale log structures, that is we need to go over to the ´etale site. Ho”
- Decomposition of degenerate Gromov–Witten invariants (2017, background): “pace is constructed, see [GS13], Appendix A for details. First, working over a eld |, there is a moduli space M of prestable basic logarithmic curves over Spec|, essentially constructed by F. Kato in [Kat00]. Of course M is an algebraic log stack over Spec|. If Bis an arbitrary fs log scheme over Sp”