The Evaluation Space of Logarithmic Stable Maps

Abstract

The evaluation stack for minimal logarithmic stable maps is constructed, parameterizing families of standard log points in the target log scheme. This construction provides the ingredients necessary to define appropriate evaluation maps for minimal log stable maps and establish the logarithmic Gromov-Witten theory of a log-smooth Deligne- Faltings log scheme.

19 pages

References in corpus (4)

• Stable logarithmic maps to Deligne--Faltings pairs II
• Equivariant geometry and the cohomology of the moduli space of curves
• Logarithmic Stable Maps
• The degeneration formula for logarithmic expanded degenerations

Cited by in corpus (11)

• Stable logarithmic maps to Deligne--Faltings pairs II
• Intrinsic Mirror Symmetry
• Invariance of quantum rings under ordinary flops: III
• Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
• Logarithmic Gromov-Witten invariants
• Chow Quotients of Toric Varieties as Moduli of Stable Log Maps
• On the value of thinking tropically to understand Ionel's GW invariants relative normal crossing divisors
• ${\mathbb{A}}^1$-curves on log smooth varieties
• A product formula for log Gromov-Witten invariants
• Logarithmic stacks and minimality
• Log geometry and exploded manifolds