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Monomial ideals, multigraded resolutions and the subadditivity problem.

Monomial ideals, multigraded resolutions and the subadditivity problem.

Chalhoub, Nour
URI: http://hdl.handle.net/10938/21675
Date: 2019

Abstract:

Let R=k[x1, . . . , xn] be the polynomial ring in n variables, and I a monomial ideal in S. Let F be a minimal graded free resolution of S=R-I. We study properties of multigraded resolutions to establish results on the subadditivity condition for maximal shifts in the minimal graded free resolution F.

Description:

 
Thesis. M.S. American University of Beirut. Department of Mathematics, 2019. T:6973.
 
Advisor : Dr. Sabine El Khoury, Associate Professor, Mathematics ; Members of Committee : Dr. Kamal Khouri Makdisi, Professor, Mathematics ; Dr. Richard Aoun, Assistant Professor, Mathematics.
 
Includes bibliographical references (leaves 51-52)
 

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