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19932024
most citedDual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

988 citations · 2k across the 45 of their papers we have counts for

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Showing 1993 · alg-geomShow all

3 papers · 2 filters

alg-geom1993★ 157 cited

Quantum Cohomology Rings of Toric Manifolds

Victor V. Batyrev

We compute the quantum cohomology ring of an arbitrary -dimensional smooth projective toric manifold associated with a fan . The multipl…

alg-geom1993★ 988 cited

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Victor V. Batyrev

We consider families consisting of complex -dimensional projective algebraic compactifications of -regular affine hypersurfaces defined by Laurent pol…

alg-geom1993★ 83 cited

Generalized Hypergeometric Functions and Rational Curves on Calabi-Yau Complete Intersections in Toric Varieties

Victor V. Batyrev, Duco van Straten

We formulate general conjectures about the relationship between the A-model connection on the cohomology of a -dimensional Calabi-Yau complete intersection of hypersurfa…