97 citations
- École Normale Supérieure - PSLFR40 papers
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4 papers · 1 filter
Note on constancy of some formal meromorphic maps
Joel Merker
Segre sets are superfluous to verify that quotients of formal holomorphic maps that are real on a minimal generic submanifold of positive CR dimension must necessarily be constant.
Demailly-Semple jets of orders 4 and 5 in dimension 2
Joël Merker
In view of Kobayashi's hyperbolicity conjecture, Demailly-Semple jets of orders 4 and 5 in dimension 2 are studied, some expectations about their algebraic tameness being (dis)prov…
Holomorphic extension of CR functions, envelopes of holomorphy and removable singularities
Joël Merker, Egmont Porten
This is an extensive (published) survey on CR geometry, whose major themes are: formal analytic reflection principle; generic properties of Systems of (CR) vector fields; pairs of…
A geometrical proof of the Hartogs extension theorem
Joël Merker, Egmont Porten
100 years ago exactly, in 1906, Hartogs published a celebrated extension phenomenon (birth of Several Complex Variables), whose global counterpart was stated in full generality lat…