Copy For Citation
FİNASHİN S., Kharlamov V.
Journal of the Institute of Mathematics of Jussieu, vol.23, no.1, pp.123-148, 2024 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
23
Issue:
1
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Publication Date:
2024
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Doi Number:
10.1017/s1474748022000317
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Journal Name:
Journal of the Institute of Mathematics of Jussieu
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
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Page Numbers:
pp.123-148
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Keywords:
Bertini involution, Enumerative invariants, Pin-structures, Real del Pezzo surfaces, Signed count, Welschinger weight
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Middle East Technical University Affiliated:
Yes
Abstract
We propose two systems of intrinsic weights for counting such curves. In both cases the result acquires an exceptionally strong invariance property: it does not depend on the choice of a surface. One of our counts includes all divisor classes of canonical degree 2 and gives in total 30. The other one excludes the class, but adds up the results of counting for a pair of real structures that differ by Bertini involution. This count gives 96.