On the period map for prime Fano threefolds of degree 10

DOI10.1090/S1056-3911-2011-00594-8zbMath1250.14029arXiv0812.3670OpenAlexW2594401973MaRDI QIDQ3117194

Atanas Iliev, Olivier Debarre, Laurent Manivel

Publication date: 17 February 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3670

zbMATH Keywords

birational mapTorelli problemFano 3-fold

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) (3)-folds (14J30) Rational and birational maps (14E05) Fano varieties (14J45) Torelli problem (14C34)

Related Items (19)

Laurent phenomenon for Landau-Ginzburg models of complete intersections in Grassmannians of planes ⋮ The rationality problem for conic bundles ⋮ The integral Hodge conjecture for two-dimensional Calabi–Yau categories ⋮ Examples of K-Unstable Fano Manifolds with the Picard Number 1 ⋮ Weighted Fano varieties and infinitesimal Torelli problem ⋮ Infinitesimal categorical Torelli theorems for Fano threefolds ⋮ Kuznetsov's Fano threefold conjecture via \(K3\) categories and enhanced group actions ⋮ Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties ⋮ One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration ⋮ Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10--16, 2022 ⋮ Gushel–Mukai varieties: Moduli ⋮ Categorical Torelli theorems for Gushel–Mukai threefolds ⋮ Double covers of quadratic degeneracy and Lagrangian intersection loci ⋮ Quartic del Pezzo surfaces over function fields of curves ⋮ Birationally superrigid Fano 3-folds of codimension 4 ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture ⋮ On nodal prime Fano threefolds of degree 10 ⋮ Rational curves on prime Fano threefolds of index 1 ⋮ Examples of cylindrical Fano fourfolds

Cites Work

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• Terminal Fano threefolds and their smoothings
• On nodal prime Fano threefolds of degree 10
• Sur la jacobienne intermédiaire du double solide d'indice deux. (On the intermediate Jacobian of the double solid of index two)
• The infinitesimal Torelli problem for zero sets of sections of vector bundles
• Lines on the Gushel' threefold
• The automorphism group of linear sections of the Grassmannians \(\mathbb G (1,N)\)
• Double solids
• Fano threefolds of genus 6
• The Abel-Jacobi map for cubic threefold and periods of Fano threefolds of degree \(14\)
• Variétés de Prym et jacobiennes intermédiaires
• Pfaffian lines and vector bundles on Fano threefolds of genus 8
• Vector bundles on Fano threefolds of genus 7 and Brill–Noether loci
• Hyperelliptic and trigonal Fano threefolds

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