Derived categories of Fano threefolds \(V_{12}\)

DOI10.1007/s11006-005-0152-6zbMath1111.14038OpenAlexW2090044465MaRDI QIDQ2508716

Alexander G. Kuznetsov

Publication date: 20 October 2006

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0152-6

zbMATH Keywords

derived categoryFano threefoldsemiorthogonal decompositionFourier-Mukai functor

Mathematics Subject Classification ID

Related Items (9)

Derived categories of Artin-Mumford double solids ⋮ On linear sections of the spinor tenfold. I ⋮ Duality related with key varieties of \(\mathbb{Q} \)-Fano threefolds constructed from projective bundles ⋮ Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems ⋮ Derived categories of quadric fibrations and intersections of quadrics ⋮ Hilbert schemes of lines and conics and automorphism groups of Fano threefolds ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture ⋮ Cycles, derived categories, and rationality ⋮ Rational curves on prime Fano threefolds of index 1

Cites Work

• A very simple proof of Bott's theorem
• Parametrization of sing \(\Theta\) for a Fano 3-fold of genus 7 by moduli of vector
• Equivalences of Triangulated Categories and Fourier-Mukai Transforms
• Elliptic curves and rank-2 vector bundles on the prime Fano threefold of genus 7
• Unnamed Item
• Unnamed Item

This page was built for publication: Derived categories of Fano threefolds \(V_{12}\)