| 释义 |
- See also
- References
In algebraic geometry, given irreducible subvarieties V, W of a projective space Pn, the ruled join of V and W is the union of all lines from V to W in P2n+1, where V, W are embedded into P2n+1 so that the last (resp. first) n + 1 coordinates on V (resp. W) vanish.[1] It is denoted by J(V, W). For example, if V and W are linear subspaces, then their join is the linear span of them, the smallest linear subcontaining them. The join of several subvarieties is defined in a similar way. See also References 1. ^{{harvnb|Fulton|loc=Example 8.4.5.}}
- {{Cite book|url=https://books.google.ca/books?id=1PGyO6uQZCYC&pg=PA2&lpg=PA2&dq=Join+(algebraic+geometry)&source=bl&ots=bkYZ7C9hGd&sig=fyVTBN498Wpkgc8ALxbWQ8Ik0fY&hl=en&sa=X&ved=0ahUKEwilmK3Wj9nZAhUhwlQKHQC9CVQQ6AEIWDAG#v=onepage&q=Join%20(algebraic%20geometry)&f=false|title=Algorithms in Algebraic Geometry|last=Dickenstein|first=Alicia|last2=Schreyer|first2=Frank-Olaf|last3=Sommese|first3=Andrew J.|date=2010-07-10|publisher=Springer Science & Business Media|isbn=9780387751559|language=en}}
- {{Citation | title=Intersection theory | publisher=Springer-Verlag | location=Berlin, New York | series=Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. | isbn=978-3-540-62046-4 | mr=1644323 | year=1998 | volume=2 | edition=2nd | author=William Fulton.}}
- {{Cite web|url=http://www.dmi.unict.it/~frusso/DMI/Note_di_Corso_files/GeometrySpecialVarieties.pdf|title=Geometry of Special Varieties|last=Russo|first=Francesco|date=|website=University of Catania|archive-url=|archive-date=|dead-url=|access-date=7 March 2018}}
{{algebraic-geometry-stub}} 1 : Algebraic geometry |