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Algebraic Geometry Seminar
Seminar information archive ～05/03｜Next seminar｜Future seminars 05/04～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2015/06/15
15:30-17:00 Room #122 (Graduate School of Math. Sci. Bldg.)
Christopher Hacon (University of Utah/RIMS)
Boundedness of the KSBA functor of
SLC models (English)
http://www.math.utah.edu/~hacon/
Christopher Hacon (University of Utah/RIMS)
Boundedness of the KSBA functor of
SLC models (English)
[ Abstract ]
Let X be a canonically polarized smooth n-dimensional projective variety over C (so that ωX is ample), then it is well-known that a fixed multiple of the canonical line bundle defines an embedding of X in projective space. It then follows easily that if we fix certain invariants of X, then X belongs to finitely many deformation types. Since canonical models are rarely smooth, it is important to generalize this result to canonically polarized n-dimensional projectivevarieties with canonical singularities. Moreover, since these varieties specialize to non-normal varieties it is also important to generalize this result to semi-log canonical pairs. In this talk we will explain a strong version of the above result that applies to semi-log canonical pairs.This is joint work with C. Xu and J. McKernan
[ Reference URL ]Let X be a canonically polarized smooth n-dimensional projective variety over C (so that ωX is ample), then it is well-known that a fixed multiple of the canonical line bundle defines an embedding of X in projective space. It then follows easily that if we fix certain invariants of X, then X belongs to finitely many deformation types. Since canonical models are rarely smooth, it is important to generalize this result to canonically polarized n-dimensional projectivevarieties with canonical singularities. Moreover, since these varieties specialize to non-normal varieties it is also important to generalize this result to semi-log canonical pairs. In this talk we will explain a strong version of the above result that applies to semi-log canonical pairs.This is joint work with C. Xu and J. McKernan
http://www.math.utah.edu/~hacon/
