Symplectic 4-manifolds on the Noether line and between the Noether and half 
Noether lines

Sakallı, Sümeyra

doi:10.1007/s10711-021-00655-6

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Journal Article

Symplectic 4-manifolds on the Noether line and between the Noether and half Noether lines

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Sakallı, Sümeyra
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s10711-021-00655-6
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https://arxiv.org/abs/1909.04771
(Postprint)

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Sakalli_MPIM Preprint series 2019-52.pdf
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Citation

Sakallı, S. (2021). Symplectic 4-manifolds on the Noether line and between the Noether and half Noether lines. Geometriae Dedicata, 215(1), 369-399. doi:10.1007/s10711-021-00655-6.

Cite as: https://hdl.handle.net/21.11116/0000-0009-4ACB-0

Abstract

We construct simply connected, minimal, symplectic 4-manifolds with exotic
smooth structures and each with one Seiberg-Witten basic class up to sign, on
the Noether line and between the Noether and half Noether lines by star
surgeries introduced by Karakurt and Starkston, and by using complex
singularities. We also construct certain configurations of complex
singularities in the rational elliptic surfaces geometrically, without using
any monodromy arguments. By using these configurations, we give symplectic
embeddings of star shaped plumbings inside (some blow-ups of) elliptic
surfaces.