NON-BIRATIONAL CALABI–YAU THREEFOLDS THAT ARE DERIVED EQUIVALENT

DOI10.1142/S0129167X07004205zbMath1122.14014arXivmath/0601232MaRDI QIDQ3447023

Andrei Căldăraru

Publication date: 28 June 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601232

zbMATH Keywords

derived categorieselliptic fibrationsbirational geometryFourier-Mukai transforms

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (6)

Calabi-Yau 3-folds from projective joins of del Pezzo manifolds ⋮ Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences ⋮ Automorphism groups of Calabi-Yau manifolds of Picard number 2 ⋮ Motivic integration and birational invariance of BCOV invariants ⋮ Intersections of two Grassmannians in \(\mathbb{P}^9\) ⋮ A counterexample of the birational Torelli problem via Fourier–Mukai transforms

Cites Work

• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• Equivalences of derived categories and \(K3\) surfaces
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Flops and derived categories.
• Counter-example to global Torelli problem for irreducible symplectic manifolds
• Duality between D(X) and with its application to picard sheaves
• Topics in Transcendental Algebraic Geometry. (AM-106)
• On an example of Aspinwall and Morrison
• Complex surfaces with equivalent derived categories

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