Smoothability of relative stable maps to stacky curves
Kenneth Ascher, Dori Bejleri
TL;DR
This paper investigates the conditions under which genus zero twisted stable maps to stacky curves can be smoothed, utilizing log geometry techniques, with applications to smoothing certain fibered surfaces.
Contribution
It introduces a log geometric approach to analyze the smoothability of relative stable maps to stacky curves, extending understanding in this area.
Findings
Established criteria for smoothability of genus zero twisted stable maps
Applied results to smoothing semi-log canonical fibered surfaces with singular fibers
Provided new methods for studying deformations in algebraic geometry
Abstract
Using log geometry, we study smoothability of genus zero twisted stable maps to stacky curves relative to a collection of marked points. One application is to smoothing semi-log canonical fibered surfaces with marked singular fibers.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometry and complex manifolds · Geometric and Algebraic Topology