Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
varieties over finite fields
|
| gptkbp:arXivID |
math/0302309
|
| gptkbp:author |
gptkb:Bjorn_Poonen
|
| gptkbp:citation |
research on Bertini-type theorems in positive characteristic
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
gptkb:Bertini's_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Poonen's Bertini theorem
|
| gptkbp:influenced |
study of random algebraic varieties over finite fields
|
| gptkbp:MRNumber |
MR2103483
|
| gptkbp:publicationYear |
2004
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:sentence |
A random hypersurface section of a smooth variety over a finite field is smooth with probability tending to 1 as the degree increases.
|
| gptkbp:bfsParent |
gptkb:Bjorn_Poonen
|
| gptkbp:bfsLayer |
5
|