Rationality of Fano threefolds with terminal Gorenstein singularities. I

DOI10.1134/S0081543819060130zbMath1471.14032arXiv1907.05678OpenAlexW3013867343MaRDI QIDQ2185511

Yuri G. Prokhorov

Publication date: 4 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05678

zbMATH Keywords

terminal singularitiesrationalFano threefoldsGorenstein

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Fano varieties (14J45) Rationality questions in algebraic geometry (14E08)

Related Items (2)

Rationality of Fano threefolds with terminal Gorenstein singularities. II ⋮ Finite 3-subgroups in the Cremona group of rank 3

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Towards the classification of weak Fano threefolds with \(\rho = 2\)
• A classification of terminal quartic 3-folds and applications to rationality questions
• Threefolds with big and nef anticanonical bundles. II
• Sur la jacobienne intermédiaire du double solide d'indice deux. (On the intermediate Jacobian of the double solid of index two)
• 3-dimensional Fano varieties with canonical singularities
• On the rationality problem for conic bundles
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Small contractions of four dimensional algebraic manifolds
• The middle Jacobian of three-dimensional varieties
• Anticanonical models of three-dimensional algebraic varieties
• Birational automorphisms of three-dimensional algebraic varieties
• Bounded three-dimensional Fano varieties of integer index
• Elementary contractions of Gorenstein threefolds
• Weak Fano threefolds with del Pezzo fibration
• On the number of singular points of terminal factorial Fano threefolds
• On stable rationality of Fano threefolds and del Pezzo fibrations
• The intermediate Jacobian of the cubic threefold
• G-Fano threefolds, I
• Singular Fano threefolds of genus 12
• On birational maps from cubic threefolds
• The defect of Fano $3$-folds
• Sextic Double Solids
• On $ G$-Fano threefolds
• Towards the second main theorem on complements
• PRYM VARIETIES: THEORY AND APPLICATIONS
• ON CONIC BUNDLE STRUCTURES
• BIRATIONAL AUTOMORPHISMS OF A THREE-DIMENSIONAL QUARTIC WITH A QUADRATIC SINGULARITY
• SMOOTHNESS OF THE GENERAL ANTICANONICAL DIVISOR ON A FANO 3-FOLD
• Projective Models of K - 3 Surfaces
• Variétés de Prym et jacobiennes intermédiaires
• FANO 3-FOLDS. I
• Birational properties of pencils of del Pezzo surfaces of degrees 1 and 2
• The rationality problem for conic bundles
• Which quartic double solids are rational?
• On a double cone over a Veronese surface
• Existence of good divisors on Mukai varieties
• Birational geometry of terminal quartic 3-folds, I
• Gorenstein Fano threefolds with base points in the anticanonical system
• THREE-DIMENSIONAL QUARTICS AND COUNTEREXAMPLES TO THE LÜROTH PROBLEM
• On the degree of Fano threefolds with canonical Gorenstein singularities
• Hyperelliptic and trigonal Fano threefolds
• Threefolds whose canonical bundles are not numerically effective

This page was built for publication: Rationality of Fano threefolds with terminal Gorenstein singularities. I