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DTSTART;TZID=America/Los_Angeles:20231121T121500
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DTSTAMP:20260416T172537
CREATED:20231009T193529Z
LAST-MODIFIED:20231119T201433Z
UID:3282-1700568900-1700572200@colleges.claremont.edu
SUMMARY:On the Cox ring of a weighted projective plane blown-up at a point (Javier Gonzalez Anaya\, HMC)
DESCRIPTION:The Cox ring of a projective variety is the ring of all its meromorphic functions\, together with a grading of geometric origin. Determining whether this ring is finitely generated is a challenging task\, even for simple examples. In this talk\, we will discuss our efforts to tackle this problem for a specific class of varieties\, known as blow-ups of weighted projective planes (WPP). Through the lens of toric geometry\, a WPP is characterized by a rational plane triangle. This allows us to reinterpret the problem combinatorially and show that the solution often emerges from a parameter space of such triangles. This is joint work with José Luis González and Kalle Karu.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-javier-gonzalez-anaya-hmc/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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