An obstruction to smoothing stable maps

An obstruction to smoothing stable maps

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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Veröffentlicht in:arXiv.org 2024-07
Hauptverfasser: Rezaee, Fatemeh, Swaminathan, Mohan
Format: Artikel
Sprache:eng
Schlagworte:
Obstructions
Rational functions
Smoothing
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Zusammenfassung: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.
ISSN:2331-8422