On the quantum periods of del Pezzo surfaces with \(\frac{1}{3}(1, 1)\) singularities

DOI10.1515/advgeom-2017-0048zbMath1395.14032arXiv1507.08589OpenAlexW1657343389MaRDI QIDQ1653981

Andrea Petracci, Alessandro Oneto

Publication date: 7 August 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08589

zbMATH Keywords

del Pezzo surfacequantum cohomologyGromov-Witten invariantsquantum period

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Fano varieties (14J45) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (9)

Hyperelliptic integrals and mirrors of the Johnson–Kollár del Pezzo surfaces ⋮ Del Pezzo surfaces with a single \(1/k(1,1)\) singularity ⋮ Quantum Periods for Certain Four-Dimensional Fano Manifolds ⋮ Abelianization and quantum Lefschetz for orbifold quasimap \(I\)-functions ⋮ A 1-dimensional component of K-moduli of del Pezzo surfaces ⋮ An Example of Mirror Symmetry for Fano Threefolds ⋮ Del Pezzo surfaces with \(\frac{1}{3}(1,1)\) points ⋮ Mirror symmetry and the classification of orbifold del Pezzo surfaces ⋮ Period integrals and mutation

Uses Software

• Magma

Cites Work

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