An obstruction to smoothing stable maps

2024/07/01 by Rezaee, Fatemeh, Swaminathan, Mohan
#14N35 (Primary) 53D45 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2407.01845

Abstract

We describe an obstruction to smoothing stable maps in smooth projective varieties, which generalizes some previously known obstructions. Our obstruction comes from the non-existence of certain rational functions on the ghost components, with prescribed simple poles and residues.

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