A counterexample to the birational Torelli problem for Calabi-Yau threefolds

DOI10.1112/jlms.12111zbMath1393.14006arXiv1706.09952OpenAlexW3123706252WikidataQ124810853 ScholiaQ124810853MaRDI QIDQ4572054

John Christian Ottem, Jørgen Vold Rennemo

Publication date: 4 July 2018

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09952

zbMATH Keywords

Calabi-Yau 3-foldsderived equivalencedeformation equivalencebirational equivalence

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Torelli problem (14C34)

Related Items (14)

Calabi-Yau 3-folds from projective joins of del Pezzo manifolds ⋮ GLSM realizations of maps and intersections of Grassmannians and Pfaffians ⋮ The integral Hodge conjecture for two-dimensional Calabi–Yau categories ⋮ On the motive of Ito-Miura-Okawa-Ueda Calabi-Yau threefolds ⋮ Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties ⋮ Mukai duality via roofs of projective bundles ⋮ Topics on the geometry of rational homogeneous spaces ⋮ The generalized roof \(F(1, 2,n)\): Hodge structures and derived categories ⋮ Semiorthogonal decompositions in families ⋮ Equivalence of K3 surfaces from Verra threefolds ⋮ Categorical Plücker formula and homological projective duality ⋮ Derived equivalent Hilbert schemes of points on \(K3\) surfaces which are not birational ⋮ On the motive of intersections of two Grassmannians in \(\mathbb{P}^9\) ⋮ Categorical joins

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