Conic bundle structures on \(\mathbb{Q}\)-Fano threefolds

DOI10.3934/era.2022095OpenAlexW4225630346MaRDI QIDQ2696710

Yuri G. Prokhorov

Publication date: 17 April 2023

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01003

zbMATH Keywords

Fano varietysingularityminimal model programconic bundle

Mathematics Subject Classification ID

(3)-folds (14J30) Fano varieties (14J45) Other complex differential geometry (53C56)

Uses Software

• PARI/GP
• Graded Ring Database

Cites Work

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• \(\mathbb Q\)-Fano threefolds of large Fano index. I.
• 3-dimensional Fano varieties with canonical singularities
• Computing certain Fano 3-folds
• On the rationality problem for conic bundles
• On Fano indices of \(\mathbb Q\)-Fano 3-folds
• Multiple fibers of del Pezzo fibrations
• Fano threefolds of large Fano index and large degree
• Existence of minimal models for varieties of log general type
• PRYM VARIETIES: THEORY AND APPLICATIONS
• ON CONIC BUNDLE STRUCTURES
• Singularities of Pairs
• The rationality problem for conic bundles
• Equivariant minimal model program
• The degree of $ \mathbb Q$-Fano threefolds
• Divisorial contractions in dimension three which contract divisors to smooth points