2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60252We study the B-model chiral ring of Calabi-Yau hypersurfaces in Batyrev's mirror construction. The main result is an explicit description of a subring of the chiral ring of semiample regular (transversal to torus orbits) Calabi-Yau hypersurfaces. This subring includes the marginal operators and contains all information about the correlation functions used by physicists. Computation of the chiral ring passes through a description of cohomology of semiample hypersurfaces. Here, we develop the techniques for calculating of the cohomology of resolutions.Algebraic GeometryHigh Energy Physics - TheoryOn the chiral ring of Calabi-Yau hypersurfaces in toric varietiestext