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NCTS Seminar on Algebraic Geometry
 
10:30 - 12:00, June 18, 2021 (Friday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
The Case of Smooth Fano Varieties
Jheng-Jie Chen (National Central University)

Abstract:

NCTS Algebraic Geometry Learning Seminar will focus on the deformation theory in the first half year. This is the 6rd talk of Part II.
 
Part II - Deformation of rational curves. The outline of the talks is based of Debarre’s book, [Deb01], with possible references to Kollar's book, [Kol96]. The talks will focus around chapters 3-5 of [Deb01], culminating in proving an effective bound for the volume of a smooth Fano variety based on dimensions which implies the boundedness of family of smooth fano varieties.
 
Talk 6 (The Case of Smooth Fano Varieties) Covers Chapter 5.5 - 5.9 (with maybe supplements from Koll ́ar, [Kol96, V.2].)
 
Part I - Abstract deformation theory. We mainly follow Hartshorne's Deformation Theory book.
Part II - Deformation of rational curves. We follow Debarre's Higher Dimensional Algebraic Geometry.
 


 

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