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Abstract
We provide a universal approach to the moduli of Jun Li's expanded pairs and expanded degenerations [Citation20]. This enables us to prove algebraicity results, compare with Li's approach and with the approach of Graber and Vakil [Citation16], and generalize to the twisted expansions used by Abramovich and Fantechi as a basis for orbifold techniques in degeneration formulas.
ACKNOWLEDGMENTS
We are happy to acknowledge M. Thaddeus for several useful conversations about the topics of Section 6 and Appendix 8.3. We are also grateful to MSRI and the organizers of the 2009 Algebraic Geometry Program at which this project was initiated.
Research of D. A. partially supported by NSF grants DMS-0603284 and DMS-0901278.
Research of J. W. partially supported by NSF-MSPRF 0802951.
Notes
Communicated by S. Kleiman.