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UID:2024041609523220240415T15000020240415T155000661e4a6023dc5@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20240415T085524
DTSTART:20240415T150000
DTEND:20240415T155000
SUMMARY:Algebraic Geometry Seminar: CMS criterion and the geography of surfaces with big cotangent bundle, by Bruno De Oliveira
DESCRIPTION:Bruno De Oliveira (University of Miami): CMS criterion and the geography of surfaces with big cotangent bundle We investigate the components determining bigness of the cotangent bundle $\Omega^1_X$ of smooth models $X$ in the birational class $\mathcal {Y}$ of an orbifold surface of general type $Y$, with a focus on the contribution given by the singularities of $Y$. A criterion for bigness of $\Omega_X^1$ is given involving only topological and singularity data on $Y$. We single out a special case, the Canonical Model Singularities (CMS) criterion, when $Y$ is the canonical model of $\mathcal Y$. We study the singularity invariants appearing in the criterion and determine them for $A_n$ singularities. Knowledge of these invariants for $A_n$ singularities allows one to evaluate the $(c_2,c^2_1)-$geographical range of the CMS criterion and compare it to other criteria. We obtain new examples of surfaces with big cotangent bundle. (Joint work with Y. Asega and M.Weiss) Please click here to make changes to, or delete, this seminar announcement. | Event post: https://mscs.uic.edu/events?page_id=5184651
LOCATION:636 SEO Chicago IL
CLASS:PRIVATE
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