Higher Dimensional Varieties and their Moduli Spaces

DOI10.1007/978-3-319-59486-6_2zbMath1393.14001OpenAlexW2763137872MaRDI QIDQ4606254

Paolo Cascini

Publication date: 2 March 2018

Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59486-6_2

zbMATH Keywords

birational geometry

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Families, moduli, classification: algebraic theory (14J10) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) (n)-folds ((n>4)) (14J40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New outlook on the minimal model program. I.
• Ascending chain condition for log canonical thresholds and termination of log flips
• Flops connect minimal models
• On the length of an extremal rational curve
• A canonical bundle formula
• New outlook on the minimal model program. II
• On weak Fano varieties with log canonical singularities
• A cone theorem for nef curves
• Existence of minimal models for varieties of log general type
• Existence of minimal models for varieties of log general type II
• Log Sarkisov Program
• 𝐾-equivalence in birational geometry and characterizations of complex elliptic genera
• The Minimal Model Program revisited
• The Sarkisov program