Cox ring of the generic fiber

DOI10.1016/j.jalgebra.2020.01.013zbMath1437.14017arXiv1708.02797OpenAlexW3001631494WikidataQ126304391 ScholiaQ126304391MaRDI QIDQ2300480

Luca Ugaglia, Antonio Laface

Publication date: 27 February 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02797

zbMATH Keywords

fiber spacesCox rings

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• On images of Mori dream spaces
• The Cox ring of an algebraic variety with torus action
• Mori Dream Spaces and blow-ups of weighted projective spaces
• Algebraic cycles and fibrations
• Good quotients of Mori dream spaces
• Cox Rings
• Hilbert's 14th problem and Cox rings
• Computing Cox rings
• On Cox rings of K3 surfaces
• The Arithmetic of Elliptic Curves
• Del Pezzo elliptic varieties of degree d ≤ 4
• Some non-finitely generated Cox rings
• Cox rings over nonclosed fields
• Examples of Non-finitely Generated Cox Rings

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