Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on Wahl singularities from symplectic topology   Let X be a minimal surface of general type with positive geometric genus
($b_+ > 1$) and let $K^2$ be the square of its canonical class. Building on
work of Khodorovskiy and Rana, we prove that if X develops a Wahl singularity
of length $\ell$ in a Q-Gorenstein degeneration, then $\ell \leq 4K^2 + 7$.
This improves on the current best-known upper bound due to Lee ($\ell \leq
400(K^2)^4$). Our bound follows from a stronger theorem constraining symplectic
embeddings of certain rational homology balls in surfaces of general type. In
particular, we show that if the rational homology ball $B_{p,1}$ embeds
symplectically in a quintic surface, then $p \leq 12$, partially answering the
symplectic version of a question of Kronheimer.

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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int