Deformation of quintic threefolds to the chordal variety

Zahariuc, Adrian

doi:10.1090/tran/7154

Deformation of quintic threefolds to the chordal variety
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by Adrian Zahariuc PDF

Trans. Amer. Math. Soc. 370 (2018), 6493-6513 Request permission

Abstract:

We consider a family of quintic threefolds specializing to a certain reducible threefold. We describe the space of genus zero stable morphisms to the central fiber, as defined by J. Li. As an application of a straightforward extension, we prove the existence of rigid stable maps with smooth source of arbitrary genus and sufficiently high degree to very general quintics.

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