Cremona transformations and derived equivalences of K3 surfaces

DOI10.1112/S0010437X18007145zbMath1407.14010arXiv1612.07751WikidataQ129741873 ScholiaQ129741873MaRDI QIDQ4683893

Brendan Hassett, Kuan-Wen Lai

Publication date: 26 September 2018

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07751

zbMATH Keywords

derived equivalences\(K3\) surfacesCremona transformations

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) (K3) surfaces and Enriques surfaces (14J28)

Related Items (13)

Motives of derived equivalent \(K3\) surfaces ⋮ 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 ⋮ L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces ⋮ Motivic invariants of birational maps ⋮ On cylindrical smooth rational Fano fourfolds ⋮ On the motive of Kapustka-Rampazzo's Calabi-Yau threefolds ⋮ Equivalence of K3 surfaces from Verra threefolds ⋮ An example of birationally inequivalent projective symplectic varieties which are D-equivalent and L-equivalent ⋮ Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics ⋮ Cycles, derived categories, and rationality ⋮ On the motive of intersections of two Grassmannians in \(\mathbb{P}^9\) ⋮ Motives of isogenous \(K3\) surfaces

Uses Software

• SINGULAR

Cites Work

• The class of the affine line is a zero divisor in the Grothendieck ring: an improvement
• Equivalences of derived categories and \(K3\) surfaces
• K3 surfaces via almost-primes.
• Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics
• The intermediate Jacobian of the cubic threefold
• Classical Algebraic Geometry
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• Cremona Transformations with Smooth Irreducible Fundamental Locus
• The class of the affine line is a zero divisor in the Grothendieck ring: Via 𝐺₂-Grassmannians
• Elliptic curves and rank-2 vector bundles on the prime Fano threefold of genus 7
• Cubic Fourfolds, K3 Surfaces, and Rationality Questions
• Hyperplane sections and derived categories
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