Genus-One Stable Maps, Local Equations, and Vakil-Zinger's desingularization

Details Genus-One Stable Maps, Local Equations, and Vakil-Zinger's desingularization Genus-One Stable Maps, Local Equations, and Vakil-Zinger's desingularization

2008-12-22

arxiv.org/abs/0812.4286v1

Mathematics

Algebraic Geometry

31 pages, 2 figures

Scientific paper

We describe an algebro-geometric approach to Vakil-Zinger's desingularization
of the main component of the moduli of genus one stable maps to projective
space. The new approach provides complete local structural results for this
moduli space as well as for the desingularization of the entire moduli space
and should fully extend to higher genera.

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