On regularity of (symbolic) Rees algebra and (symbolic) powers of edge & vertex cover ideals of graphs

Abstract: In this talk, we discuss about the Castelnuovo-Mumford regularity (or regularity) of Rees algebras and symbolic Rees algebras of certain ideals associated to finite simple graphs and we give various combinatorial upper bounds. Also we study upper bounds for symbolic and ordinary powers of edge and vertex cover ideals of simple graphs.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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