Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Welschinger invariants of descendant type   We introduce enumerative invariants of real del Pezzo surfaces that count
real rational curves belonging to a given divisor class, passing through a
generic conjugation-invariant configuration of points and satisfying
preassigned tangency conditions to given smooth arcs centered at the fixed
points. The counted curves are equipped with Welschinger-type signs. We prove
that such a count does not depend neither on the choice of the point-arc
configuration, nor on the variation of the ambient real surface. These
invariants can be regarded as a real counterpart of (complex) descendant
invariants.

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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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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: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nlin