The degeneration formula for logarithmic expanded degenerations

Abstract

We define a notion of logarithmic stable maps based on Bumsig Kim's construction. Then we prove a degeneration formula under this setting by applying the method develeoped by Dan Abramovich and Barbara Fantechi for transversal maps.

39 pages

References in corpus (6)

• Semiorthogonal decomposition for algebraic varieties
• Parabolic sheaves on logarithmic schemes
• Orbifold techniques in degeneration formulas
• Stable logarithmic maps to Deligne--Faltings pairs II
• Mirror Symmetry via Logarithmic Degeneration Data I
• Logarithmic Stable Maps

Cited by in corpus (4)

• Stable logarithmic maps to Deligne--Faltings pairs II
• The Evaluation Space of Logarithmic Stable Maps
• On the value of thinking tropically to understand Ionel's GW invariants relative normal crossing divisors
• Log geometry and exploded manifolds