On the finiteness theorem for rational maps on a variety of general type

DOI10.1007/BF03191371zbMath1184.14020arXiv0807.2980OpenAlexW1971876546MaRDI QIDQ735095

Lucio Guerra, Gian Pietro Pirola

Publication date: 14 October 2009

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2980

Mathematics Subject Classification ID

Rational and birational maps (14E05) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (2)

Positivity in varieties of maximal Albanese dimension ⋮ Parametrization of rational maps on a variety of general type, and the finiteness theorem

Cites Work

• Complexity of Chow varieties and number of morphisms on surfaces of general type
• Invariance of plurigenera
• Estimations du nombre d'applications rationnelles d'une variété fixe aux variétés de type général. (Estimates of the number of rational mappings from a fixed variety to varieties of general type.)
• Pluricanonical systems of projective varieties of general type. II
• Pluricanonical systems on algebraic varieties of general type
• Boundedness of pluricanonical maps of varieties of general type
• Zur algebraischen Geometrie. IX. Über zugeordnete Formen und algebraische Systeme von algebraischen Mannigfaltigkeiten
• On the invariance and the lower semi-continuity of plurigenera of algebraic varieties
• The Structure of Polynomial Ideals and Gröbner Bases
• Effective finiteness theorems for maps between canonically polarizedcompact complex manifolds
• Bounds of the number of rational maps between varieties of general type
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