Some homogeneous rings associated to finite morphisms



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Gallego Rodrigo, Francisco Javier and Purnaprajna, Bangere P. (2003) Some homogeneous rings associated to finite morphisms. In Advances in algebra and geometry. Hindustan Book Agency, New Delhi, pp. 159-169. ISBN 81-85931-36-4


In 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 threefolds

Item Type:Book Section
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Proceedings of the 4th Annual International Conference (CAAG) held at the University of Hyderabad, Hyderabad, December 7–12, 2001

Uncontrolled Keywords:Very ampleness; Canonical curve; Finite cover; Homogeneous rings of a projective variety; Finite morphism; Calabi-Yau threefolds
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:21339
Deposited On:13 May 2013 12:38
Last Modified:13 May 2013 12:38

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