Gallego Rodrigo, Francisco JavierPurnaprajna, Bangere P.Musili, C.Decker, W.Verma, J.K.2023-06-202023-06-20200381-85931-36-4https://hdl.handle.net/20.500.14352/60694Proceedings of the 4th Annual International Conference (CAAG) held at the University of Hyderabad, Hyderabad, December 7–12, 2001In this article we present a new technique to handle the study of homogeneous rings of a projective variety endowed with a finite or a generically finite morphism to another variety Y whose geometry is easier to handle. Under these circumstances it is possible to use the information given by the algebra structure of OX over OY to describe the homogeneous ring associated to line bundles which are pullback of line bundles on Y . In this article we illustrate our technique to study the canonical ring of curves (a well-known ring that we revisit with this new technique) equipped with a suitable finite morphism and homogeneous rings of certain class of Calabi-Yau threefoldsbook partmetadata only access512.7Very amplenessCanonical curveFinite coverHomogeneous rings of a projective varietyFinite morphismCalabi-Yau threefoldsGeometria algebraica1201.01 Geometría Algebraica