Stable logarithmic maps to Deligne--Faltings pairs II
arXiv:1102.4531
Abstract
We make an observation which enables one to deduce the existence of an algebraic stack of log maps for all generalized Deligne--Faltings log structures (in particular simple normal crossings divisor) from the simplest case with log structures given by a Cartier divisor (essentially the smooth divisor case).
arXiv commentAdd Section 4.7 to show the compatibility of minimality defined in this paper with the basicness introduced by Gross-Siebert
References in corpus (7)
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- Mirror Symmetry via Logarithmic Degeneration Data I
- The Evaluation Space of Logarithmic Stable Maps
- Logarithmic Stable Maps
- Logarithmic Gromov-Witten invariants
- The degeneration formula for logarithmic expanded degenerations
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- Invariance of quantum rings under ordinary flops: III
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- Universal tropical structures for curves in exploded manifolds
- Chow Quotients of Toric Varieties as Moduli of Stable Log Maps
- The moduli space of stable coherent sheaves via non-archimedean geometry
- Quivers and curves in higher dimension
- Splitting of Gromov-Witten Invariants with Toric Gluing Strata
- Real Log Curves in Toric Varieties, Tropical Curves, and Log Welschinger Invariants
- The Strominger-Yau-Zaslow conjecture and its impact
- Log geometry and exploded manifolds