Pith. sign in

REVIEW 4 cited by

Semiorthogonal decomposition for algebraic varieties

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv alg-geom/9506012 v1 pith:YVPY7BVJ submitted 1995-06-19 alg-geom math.AG

A.Bondal , D.Orlov This is my paper · ORCID
classification alg-geommath.AG
keywords derivedcoherentsheavescategoriescategorydecompositionsemiorthogonalalgebraic
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

A criterion for a functor between derived categories of coherent sheaves to be full and faithful is given. A semiorthogonal decomposition for the derived category of coherent sheaves on the intersection of two even dimensional quadrics is obtained. The behaviour of derived categories with respect to birational transformations is investigated. A theorem about reconstruction of a variety from the derived category of coherent sheaves is proved.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The finite degree formula for normalized volumes

    math.AG 2026-07 accept novelty 8.0 of 10

    For finite crepant morphisms of klt singularities, normalized volume scales exactly by the degree of the morphism.

  2. Quantum spectrum and Gamma structure for standard flips

    math.AG 2025-02 conditional novelty 7.0 of 10

    For standard flips, the extremal quantum spectrum is shown to be compatible with the Gamma-class decomposition and with the semi-orthogonal decompositions of Orlov and Belmans-Fu-Raedschelders.

  3. A Semi-orthogonal Sequence in the Derived Category of the Hilbert Scheme of Three Points

    math.AG 2024-04 unverdicted novelty 7.0 of 10

    For smooth projective X of dim d≥5, D^b(X^[3]) admits a semi-orthogonal sequence of length binom(d-3,2) with each term equivalent to D(X) via FM transform from a Grassmannian bundle G over X.

  4. The Lichtenbaum-Quillen dimension of complex varieties

    math.AG 2023-12 unverdicted novelty 7.0 of 10

    Authors define Lichtenbaum-Quillen dimension of complex varieties from K-theory stabilization and apply it to rationality obstructions and new cases of the integral Hodge conjecture.

Pith tools