Knop F (1993)
Publication Language: German
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 1993
Publisher: Springer Verlag (Germany)
Book Volume: 213
Pages Range: 33-35
Journal Issue: 1
DOI: 10.1007/BF03025706
Let G be a connected reductive group with Borel subgroup B acting on a normal variety X. The complexity of X is lowest codimension of a B-orbit.
Theorem: If X is unirational (e.g. quasi-homogeneous) of complexity at most one then the ring k[X] of global functions is finitely generated.
This result is sharp: If X is not unirational or of complexity at least two then k[X] might not be finitely generated.
APA:
Knop, F. (1993). Über Hilberts vierzehntes Problem für Varietäten mit Kompliziertheit eins. Mathematische Zeitschrift, 213(1), 33-35. https://doi.org/10.1007/BF03025706
MLA:
Knop, Friedrich. "Über Hilberts vierzehntes Problem für Varietäten mit Kompliziertheit eins." Mathematische Zeitschrift 213.1 (1993): 33-35.
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