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Algebraic Geometry Seminar

Examples of finitely and non-finitely generated Cox rings
Wednesday, March 27, 2019
4:00-5:20 PM
4096 East Hall Map
Cox rings generalize the homogeneous coordinate rings of projective spaces to varieties with finitely generated divisor class groups. In this talk, we describe sufficient conditions for the finite and non-finite generation of the Cox ring of the blowup at a general point of a toric surface of Picard number one. We also discuss generalizations to higher dimensions and to toric surfaces with Picard number two. These results have applications to deciding the noetherianity of symbolic Rees algebras of monomial primes and have also been used to decide other instances of non-finite generation of Cox rings, like the case of the moduli space of stable rational pointed curves. This talk is based on joint work with Javier Gonzalez-Anaya and Kalle Karu.
Speaker(s): Jose Gonzalez (UC Riverside)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics