Categorical Torelli theorems: results and open problems (Q6175534)

scientific article; zbMATH DE number 7716009

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English	Categorical Torelli theorems: results and open problems	scientific article; zbMATH DE number 7716009

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instance of

scholarly article

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title

Categorical Torelli theorems: results and open problems (English)

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24 July 2023

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full work available at URL

https://arxiv.org/abs/2201.03899

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zbMATH Keywords

derived categories

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semiorthogonal decompositions

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Torelli theorems

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MaRDI profile type

Publication

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cites work

Bridgeland-stable moduli spaces for $K$-trivial surfaces

0 references

Hodge theory and derived categories of cubic fourfolds

0 references

Cartan-Iwahori-Matsumoto decompositions for reductive groups

0 references

Derived categories of torsors for abelian schemes

0 references

Moduli spaces on the Kuznetsov component of Fano threefolds of index 2

0 references

Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems

0 references

On the Jordan-Hölder property for geometric derived categories

0 references

Derived automorphism groups of $K3$ surfaces of Picard rank 1

0 references

The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds

0 references

Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities

0 references

Stability conditions in families

0 references

Stability conditions on Kuznetsov components

0 references

Kuznetsov's Fano threefold conjecture via $K3$ categories and enhanced group actions

0 references

Q4428936

0 references

Q3737565

0 references

Coherent sheaves on ${\mathbb{P}}^n$ and problems of linear algebra

0 references

A categorical invariant for cubic threefolds

0 references

Bridgeland Stability Conditions on Fano Threefolds

0 references

From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives

0 references

Equivalences of Triangulated Categories and Fourier-Mukai Transforms

0 references

Stability conditions on triangulated categories

0 references

Stability conditions on $K3$ surfaces

0 references

Complex surfaces with equivalent derived categories

0 references

REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES

0 references

Q5693333

0 references

Reconstruction of a variety from the derived category and groups of autoequivalences

0 references

Q4463616

0 references

Marked and labelled Gushel-Mukai fourfolds

0 references

Uniqueness of enhancements for derived and geometric categories

0 references

Does full imply faithful?

0 references

Fourier-Mukai functors: a survey

0 references

Fourier–Mukai functors in the supported case

0 references

Twisted Fourier-Mukai functors

0 references

Uniqueness of dg enhancements for the derived category of a Grothendieck category

0 references

STABLE ULRICH BUNDLES

0 references

The intermediate Jacobian of the cubic threefold

0 references

Gluing stability conditions

0 references

Enriques surfaces. I

0 references

Special prime Fano fourfolds of degree 10 and index 2

0 references

Gushel-Mukai varieties: linear spaces and periods

0 references

A brief introduction to Enriques surfaces

0 references

The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces

0 references

Q3731740

0 references

An effective restriction theorem via wall-crossing and Mercat's conjecture

0 references

Serre-invariant stability conditions and Ulrich bundles on cubic threefolds

0 references

Q4342000

0 references

Tilting in abelian categories and quasitilted algebras

0 references

Fourier-Mukai partners of Enriques and bielliptic surfaces in positive characteristic

0 references

Q5470192

0 references

Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories

0 references

The K3 category of a cubic fourfold

0 references

Stability conditions for generic K3 categories

0 references

Derived equivalences of K3 surfaces and orientation

0 references

Hochschild cohomology versus the Jacobian ring and the Torelli theorem for cubic fourfolds

0 references

$\mathbb P$-objects and autoequivalences of derived categories

0 references

Q3438052

0 references

On nodal Enriques surfaces and quartic double solids

0 references

Anticanonical models of three-dimensional algebraic varieties

0 references

FANO 3-FOLDS. I

0 references

Infinitesimal categorical Torelli theorems for Fano threefolds

0 references

Singular symplectic moduli spaces

0 references

On the derived categories of coherent sheaves on some homogeneous spaces

0 references

What Determines an Algebraic Variety?

0 references

Stability conditions on threefolds with nef tangent bundles

0 references

Stability conditions on Calabi-Yau double/triple solids

0 references

Varieties with $\mathbb {P}$-units

0 references

Calabi-Yau and fractional Calabi-Yau categories

0 references

Base change for semiorthogonal decompositions

0 references

Derived Categories of Cubic Fourfolds

0 references

Q3409129

0 references

Derived categories of Fano threefolds

0 references

Derived categories of quadric fibrations and intersections of quadrics

0 references

Derived Categories View on Rationality Problems

0 references

Homological projective duality

0 references

Hyperplane sections and derived categories

0 references

Categorical Resolutions of Irrational Singularities

0 references

Derived categories of Gushel–Mukai varieties

0 references

Categorical cones and quadratic homological projective duality

0 references

Arithmetically Cohen–Macaulay bundles on cubic threefolds

0 references

Moduli of complexes on a proper morphism

0 references

A Stronger Derived Torelli Theorem for K3 Surfaces

0 references

Stability conditions on Fano threefolds of Picard number 1

0 references

On stability conditions for the quintic threefold

0 references

A refined derived Torelli theorem for Enriques surfaces

0 references

A refined derived Torelli theorem for Enriques surfaces. II: The non-generic case

0 references

Birational models of moduli spaces of coherent sheaves on the projective plane

0 references

Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces

0 references

Stability condition on Calabi–Yau threefold of complete intersection of quadratic and quartic hypersurfaces

0 references

The period map for cubic fourfolds

0 references

Uniqueness of enhancement for triangulated categories

0 references

New enhancements of derived categories of coherent sheaves and applications

0 references

Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds

0 references

Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds II

0 references

Stability conditions on curves

0 references

A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space

0 references

Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces

0 references

Fano varieties of cubic fourfolds containing a plane

0 references

Duality between <i>D</i>(<i>X</i>) and with its application to picard sheaves

0 references

Q4027261

0 references

Q3041329

0 references

K3 surfaces via almost-primes.

0 references

Semi-orthogonal decomposability of the derived category of a curve

0 references

Equivalences of derived categories and $K3$ surfaces

0 references

Q3362153

0 references

ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS

0 references

Spinor Bundles on Quadrics

0 references

The integral Hodge conjecture for two-dimensional Calabi–Yau categories

0 references

Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties

0 references

Fourier-Mukai partners for very general special cubic fourfolds

0 references

On the double EPW sextic associated to a Gushel–Mukai fourfold

0 references

Some Remarks on Fano Three-Folds of Index Two and Stability Conditions

0 references

Q3527580

0 references

Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds

0 references

Trisecant flops, their associated $K3$ surfaces and the rationality of some cubic fourfolds

0 references

A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold

0 references

Counterexample to the Generalized Bogomolov–Gieseker Inequality for Threefolds

0 references

Braid group actions on derived categories of coherent sheaves.

0 references

Q3130186

0 references

L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces

0 references

Some remarks about the FM-partners of $K$3 surfaces with Picard numbers 1 and 2

0 references

Limit stable objects on Calabi-Yau 3-folds

0 references

Bogomolov-Gieseker-type inequality and counting invariants

0 references

The homotopy theory of dg-categories and derived Morita theory

0 references

Some aspects of the Hodge conjecture

0 references

Théorème de Torelli pour les cubiques de ${\mathbb{P}}^ 5$. (Torelli theorem for the cubics of ${\mathbb{P}}^ 5)$

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Exceptional vector bundles on Enriques surfaces

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published in

Rendiconti del Circolo Matematico di Palermo

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Identifiers

arXiv ID

2201.03899

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Mathematics Subject Classification ID

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10.1007/S12215-022-00796-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6175534