Commutative algebra seminar
Speaker: Sudeshna Roy
Title: Equations of multi-Rees algebra of a family of monomial ideals
Venue: Room 215
Date and Day: Thursday, 23 August, 2018
Time: 2-3.30 PM
Abstract: Consider the the multi-Rees algebra \R_R(I_1 \oplus \cdots \oplus
I_r)
of monomial ideals I_1, . . . , I_r. In this talk, the defining ideal of
\R_R(I_1 \oplus \cdots \oplus I_r)
will be described explicitly. We will cover Section 1 and Section 2 of the
recent paper
"Multi-Rees Algebras and Toric Dynamic Systems" (
https://arxiv.org/pdf/1806.08184.pdf)
of Cox, Lin and Sosa. We will also see that for any homogeneous ideals J_1,
. . . , J_s,
the defining ideal of \R_R(J_1 \oplus \cdots \oplus J_s) can be expressed
as a contraction
of the defining ideal of \R_R(I_1 \oplus \cdots \oplus I_r) for some
monomial ideals I_1, . . . , I_r.