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Logarithmic Stable Maps
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Logarithmic Stable Maps
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We introduce the notion of a logarithmic stable map from a minimal log prestable curve to a log twisted semi-stable variety of form $xy=0$. We study the compactification of the moduli spaces of such maps and provide a perfect obstruction theory, applicable to the moduli spaces of (un)ramified stable maps and stable relative maps. As an application, we obtain a modular desingularization of the main component of Kontsevich's moduli space of elliptic stable maps to a projective space.
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Cited by 1 Pith paper
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Cut and paste invariants of moduli spaces of stable maps to toric surfaces
A chamber decomposition of tangency conditions for log stable maps to toric surfaces makes the Grothendieck class of the moduli space constant within chambers defined by fixed cyclic orderings.
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