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SUMMARY:Chengxi Wang (UCLA)
DTSTART:20210708T140000Z
DTEND:20210708T150000Z
DTSTAMP:20260423T024804Z
UID:notts_ag/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/68/
 ">Varieties of general type with small volume</a>\nby Chengxi Wang (UCLA) 
 as part of Online Nottingham algebraic geometry seminar\n\n\nAbstract\nBy 
 Hacon-McKernan\, Takayama\, and Tsuji\, there is a constant r_n such that 
 for every r at least r_n\, the r-canonical map of every n-dimensional vari
 ety of general type is birational. In this talk\, we show that r_n must gr
 ow faster than any polynomial in n\, by giving examples of general type wi
 th small volume in high dimensions. In particular\, we construct a klt n-f
 old with ample canonical class whose volume is less than 1/2^(2^n). The kl
 t examples should be close to optimal. This is joint work with Burt Totaro
 .\n
LOCATION:https://researchseminars.org/talk/notts_ag/68/
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