Divisor Classes and the Virtual Canonical Bundle for Genus 0 Maps

DOI10.1007/978-3-319-49763-1_4zbMath1407.14019arXivmath/0602642OpenAlexW1612174948MaRDI QIDQ4645317

A. Johan de Jong, Jason Michael Starr

Publication date: 10 January 2019

Published in: Geometry Over Nonclosed Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602642

zbMATH Keywords

virtual classcanonical bundlemoduli space of stable mapsArtin stack

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Divisors, linear systems, invertible sheaves (14C20)

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Cites Work

• Gromov-Witten invariants in algebraic geometry
• The intrinsic normal cone
• Stacks of stable maps and Gromov-Witten invariants
• Spécialisation du foncteur de Picard
• Higher Fano manifolds and rational surfaces
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• Intersections of ℚ-divisors on Kontsevich’s moduli space \overline{𝕄}_{0,𝕟}(ℙ^{𝕣},𝕕) and enumerative geometry
• The Canonical Class of $\overline{M}_{0,n}(P^r,d)$ And Enumerative Geometry