Rationality of Fano threefolds over non-closed fields
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Publication:6101970
DOI10.1353/ajm.2023.0008zbMath1525.14022arXiv1911.08949MaRDI QIDQ6101970
Alexander G. Kuznetsov, Yuri G. Prokhorov
Publication date: 8 May 2023
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.08949
Fano varieties (14J45) Rationality questions in algebraic geometry (14E08) Birational geometry (14Exx)
Related Items (3)
Rationality of even-dimensional intersections of two real quadrics ⋮ Motivic invariants of birational maps ⋮ Cylinders in Fano varieties
Cites Work
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- Rank-two stable sheaves with odd determinant on Fano threefolds of genus nine
- Sur le cone des 1-cycles effectifs en dimension 3. (On the cone of effective 1-cycles in dimension 3)
- On the projective normality of complete linear series on an algebraic curve
- Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
- Anticanonical models of three-dimensional algebraic varieties
- Normal Gorenstein surfaces with ample anti-canonical divisor
- On the projective geometry of rational homogeneous varieties
- The \(\text{Sp}_3\)-Grassmannian and duality for prime Fano threefolds of genus 9
- Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
- Elementary contractions of Gorenstein threefolds
- Nonnormal del Pezzo surfaces
- Rationality of Fano threefolds of degree 18 over non-closed fields
- Instanton bundles on Fano threefolds
- Twisted cubics on cubic fourfolds
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Duality theorems for curves over p-adic fields
- On the unirationality of del Pezzo surfaces of degree 2
- Base change for semiorthogonal decompositions
- Some remark on rational points
- Questions de rationalité des diviseurs en géométrie algébrique
- Cycle Class Maps and Birational Invariants
- On the Hilbert Scheme Compactification of the Space of Twisted Cubics
- Flops
- Flip Theorem and the Existence of Minimal Models for 3-Folds
- Arithmetic on Singular Del Pezzo Surfaces
- The Rationality of Quintic Del Pezzo Surfaces-A Short Proof
- 3-FOLD LOG FLIPS
- Projective Models of K - 3 Surfaces
- Singularities of Pairs
- UNIRATIONALITY OF CUBIC HYPERSURFACES
- Morphisms to Brauer–Severi Varieties, with Applications to Del Pezzo Surfaces
- Derived Categories of Families of Sextic del Pezzo Surfaces
- The Clemens–Griffiths method over non-closed fields
- Existence of standard models of conic fibrations over non-algebraically-closed fields
- Cubic fourfolds fibered in sextic del Pezzo surfaces
- From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives
- Hyperplane sections and derived categories
- The Period-Index Problem for Elliptic Curves
- RATIONALITY OVER NONCLOSED FIELDS OF FANO THREEFOLDS WITH HIGHER GEOMETRIC PICARD RANK
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