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Seminar on Geometric Complex Analysis
Seminar information archive ～04/17｜Next seminar｜Future seminars 04/18～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2019/01/21
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Nicholas James McCleerey (Northwestern University)
POLAR TRANSFORM AND LOCAL POSITIVITY FOR CURVES
(ENGLISH)
Nicholas James McCleerey (Northwestern University)
POLAR TRANSFORM AND LOCAL POSITIVITY FOR CURVES
(ENGLISH)
[ Abstract ]
Using the duality of positive cones, we show that applying the polar transform from convexanalysis to local positivity invariants for divisors gives interesting and new local positivity invariantsfor curves. These new invariants have nice properties similar to those for divisors. In particular, thisenables us to give a characterization of the divisorial components of the non-K¨ahler locus of a big class. This is joint worth with Jian Xiao.
Using the duality of positive cones, we show that applying the polar transform from convexanalysis to local positivity invariants for divisors gives interesting and new local positivity invariantsfor curves. These new invariants have nice properties similar to those for divisors. In particular, thisenables us to give a characterization of the divisorial components of the non-K¨ahler locus of a big class. This is joint worth with Jian Xiao.
