Complete Families of Linearly Non-degenerate Rational Curves
Autor: | Matthew DeLand |
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Rok vydání: | 2011 |
Předmět: | |
Zdroj: | Canadian Mathematical Bulletin. 54:430-441 |
ISSN: | 1496-4287 0008-4395 |
Popis: | We prove that a complete family of linearly non-degenerate rational curves of degree $e > 2$ in $\mathbb{P}^n$ has at most $n-1$ moduli. For $e = 2$ we prove that such a family has at most $n$ moduli. It is unknown whether or not this is the best possible result. The general method involves exhibiting a map from the base of a family $X$ to the Grassmaninian of $e$-planes in $\mathbb{P}^n$ and analyzing the resulting map on cohomology. 14 pages |
Databáze: | OpenAIRE |
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