COMBINED COUNT of REAL RATIONAL CURVES of CANONICAL DEGREE 2 on REAL DEL PEZZO SURFACES with
Journal of the Institute of Mathematics of Jussieu, cilt.23, sa.1, ss.123-148, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.1017/s1474748022000317
- Dergi Adı: Journal of the Institute of Mathematics of Jussieu
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.123-148
- Anahtar Kelimeler: Bertini involution, Enumerative invariants, Pin-structures, Real del Pezzo surfaces, Signed count, Welschinger weight
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
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.