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Gromov-Witten and Welschinger invariants of del Pezzo varieties

2023/02/18 by Thi-Ngoc-Anh Nguyen, Nguyen, Thi-Ngoc-Anh · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Biology #Botany #Commutative Algebra and Its Applications #Computer science #Dimension (graph theory) #Genus #Mathematics #Projective space #Projective test #Pure mathematics #Space (punctuation) #math.AG

paper · pdf · doi:10.46298/epiga.2026.11503

published as Épijournal de Géométrie Algébrique, Volume 10 (March 2, 2026) epiga:11503 · 55 pages, 7 figures

openalex created_date 2023/02/22 · arxiv created 2026/02/24 · openalex publication_date 2026/03/02 · openalex updated_date 2026/07/28 · arxiv updated 2026/08/05

Abstract

In this paper, we establish formulas for computing genus-0 Gromov-Witten and Welschinger invariants of some del Pezzo varieties of dimension three by comparing to that of dimension two. These formulas are generalizations of that given in three-dimensional projective space by E. Brugallé and P. Georgieva in 2016. 55 pages, 7 figures

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