Kanev and Todorov type surfaces in toric 3-folds

Julius Giesler (Tübingen)

30-Sep-2021, 09:00-10:00 (2 years ago)

Abstract: In this talk we show at the example of some surfaces of general type, so called Kanev and Todorov type surfaces, how to construct minimal and canonical models of hypersurfaces in toric varieties. We relate the plurigenera and the Kodaira dimension of the hypersurfaces to a special polytope, known as the Fine interior. Then we study singularities of the canonical models of Kanev/Todorov type surfaces via toric geometry, degenerations of these surfaces and investigate some Hodge theoretic consequences.

algebraic geometrycombinatorics

Audience: researchers in the topic


Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html

Organizers: Alexander Kasprzyk*, Johannes Hofscheier*, Erroxe Etxabarri Alberdi
*contact for this listing

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