Infinitesimal categorical Torelli theorems for Fano threefolds

DOI10.1016/j.jpaa.2023.107418zbMath1529.14025arXiv2203.08187WikidataQ123122715 ScholiaQ123122715MaRDI QIDQ6103345

Shizhuo Zhang, Xun Lin, Zhiyu Liu, Augustinas Jacovskis

Publication date: 26 June 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.08187

zbMATH Keywords

derived categoriesFano threefoldsBrill-Noether locusBridgeland moduli spacesKuznetsov componentscategorical Torelli theorems

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Fano varieties (14J45) Stacks and moduli problems (14D23)

Related Items (1)

Categorical Torelli theorems: results and open problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Căldăraru's conjecture and Tsygan's formality
• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds
• A categorical invariant for cubic threefolds
• On deformations and the local Torelli problem of cyclic branched coverings
• Infinitesimal variation of Hodge structures and the weak global Torelli theorem for complete intersections
• Weak global Torelli theorem for certain weighted projective hypersurfaces
• The infinitesimal Torelli problem for zero sets of sections of vector bundles
• Erratum to 'The local Torelli theorem. I: Complete intersections'
• Invariance and localization for cyclic homology of DG algebras
• Derived categories of Fano threefolds
• Derived invariance of the Tamarkin-Tsygan calculus of an algebra
• Weighted Fano varieties and infinitesimal Torelli problem
• Parametrization of sing \(\Theta\) for a Fano 3-fold of genus 7 by moduli of vector
• Polyvector fields for Fano 3-folds
• Reconstruction of a variety from the derived category and groups of autoequivalences
• Topological K-theory of complex noncommutative spaces
• On the period map for prime Fano threefolds of degree 10
• Uniqueness of enhancement for triangulated categories
• Spinor Bundles on Quadrics
• Derived categories of Gushel–Mukai varieties
• Hyperbolicity of the moduli of certain Fano threefolds
• The integral Hodge conjecture for two-dimensional Calabi–Yau categories
• Some Remarks on Fano Three-Folds of Index Two and Stability Conditions
• Derived Categories View on Rationality Problems
• From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives

This page was built for publication: Infinitesimal categorical Torelli theorems for Fano threefolds