A Remark on the Gromov–Witten–Welschinger Invariants of ℂP3#ℂP¯3

We establish a formula for the Gromov–Witten–Welschinger invariants of ℂ P 3 # ℂ P ¯ 3 . Using birational transformations and pencils of quadrics, we write some real and complex enumerative invariants of ℂ P 3 # ℂ P ¯ 3 as combinations of enumerative invariants of the blow up of ℂ P 2 at two real po...

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Bibliographic Details
Published in:Mathematical Notes 2020, Vol.107 (5-6), p.727-739
Main Author: Ding, Yanqiao
Format: Article
Language:English
Subjects:
Invariants
Mathematics
Mathematics and Statistics
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Summary:We establish a formula for the Gromov–Witten–Welschinger invariants of ℂ P 3 # ℂ P ¯ 3 . Using birational transformations and pencils of quadrics, we write some real and complex enumerative invariants of ℂ P 3 # ℂ P ¯ 3 as combinations of enumerative invariants of the blow up of ℂ P 2 at two real points.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S000143462005003X