Misha Verbitsky - November 1st, 2019

November 1st, 2019

November 1st, 2019
12:10 am

[Link]

a (non isotrivial) tori fibration
Запишу сей пример, чтобы не потерялся.

>Let Y be a compact complex simply connected projective manifold and W a
>non trivial holomorphic vector bundle of rank n. Assume that there are
>2n R-linearly independent holomorphic sections of W and take the
>quotient by the corresponding action of Z^{2n}. This gives a fibration
>f : X \to Y with fibers non isotrivial complex tori.

>...is it possible to have such a (non isotrivial) tori
>fibration with the total space X having trivial canonical class K_X
>(or equivalently K_Y being trivial)?

This is an interesting construction, say, it works for the
twistor space of a torus. Not sure there are other examples,
not related to the twistor spaces.

Read more... )

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TimeEvent
12:14 am

[Link]

Bridging the Gap between Kahler and non-Kahler
Вещал, кстати, вот тут
https://www.birs.ca/events/2019/5-day-workshops/19w5051/schedule
душеполезная конференция, понравилось

Misha Verbitsky: Deformation theory of
non-Kahler holomorphically symplectic manifolds
http://verbit.ru/MATH/TALKS/BG-Banff-Nov-2019.pdf

Bridging the Gap between Kahler and non-Kahler Complex Geometry
Banff, October 27, 2019 to November 1, 2019, BIRS

Привет

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