Stable logarithmic maps to Deligne--Faltings pairs II

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).

Add Section 4.7 to show the compatibility of minimality defined in this paper with the basicness introduced by Gross-Siebert

References in corpus (5)

• Mirror Symmetry via Logarithmic Degeneration Data I
• The Evaluation Space of Logarithmic Stable Maps
• Logarithmic Stable Maps
• The degeneration formula for logarithmic expanded degenerations
• Stable logarithmic maps to Deligne-Faltings pairs I

Cited by in corpus (7)

• The Evaluation Space of Logarithmic Stable Maps
• On Symplectic Sum Formulas in Gromov-Witten Theory
• Local mirror symmetry in the tropics
• The degeneration formula for logarithmic expanded degenerations
• Quivers and curves in higher dimension
• Splitting of Gromov-Witten Invariants with Toric Gluing Strata
• The Strominger-Yau-Zaslow conjecture and its impact