Regularity and Normality of the Secant Variety to a Projective Curve
نویسنده
چکیده
For a smooth curve of genus g embedded by a line bundle of degree at least 2g + 3 we show that the ideal sheaf of the secant variety is 5-regular. This bound is sharp with respect to both the degree of the embedding and the bound on the regularity. Further, we show that the secant variety is projectively normal for the generic embedding of degree at least 2g + 3. AMS Subject Classification (2000): 14F17, 14H60, 14N05
منابع مشابه
Regularity of the Secant Variety to a Projective Curve
We give a sharp bound on the regularity of the secant variety to a smooth curve embedded by a line bundle of large (effective) degree.
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