Seminar in Real and Complex Geometry
Thursday, October 29, 2020, 16:00-17:30,
online (via zoom)
Stepan Orevkov
(Steklov Math. Institute and Université Paul Sabatier, Toulouse)
On real algebraic and real pseudoholomorphic curves in $RP^2$
Abstract
I will present an inequality for the isotopy type of a plane non-singular real
algebraic curve endowed with a complex orientation (i.e., for its complex scheme
according to Rokhlin's terminology) which implies in particular that an infinite
series of complex schemes are realizable pseudoholomorphically but not algebraically.
These are the first known examples of this kind for complex schemes of non-singular
curves in $RP^2$.
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