Compositio Mathematica

On the Chiral Ring of Calabi–Yau Hypersurfaces in Toric Varieties

Anvar R. Mavlyutov a1
a1 Department of Mathematics, Indiana University, Bloomington, In 47405, U.S.A. e-mail:

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This paper is devoted to the calculation of the B-model chiral ring, used in physics, for semiample Calabi–Yau hypersurfaces. We also study the cohomology of semiample hypersurfaces.

Key Words: chiral rings; mirror symmetry; toric varieties.