On curves of small degree on a normal rational surface scroll

被引：0

作者：

Schenzel, P ^{[1
]}

机构：

[1] Univ Halle Wittenberg, FB Math & Informat, D-06099 Halle Saale, Germany

来源：

COMMUTATIVE ALGEBRA, SINGULARITIES AND COMPUTER ALGEBRA | 2003年 / 115卷

关键词：

curve; surface scroll; degree; minimal free resolution;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C subset of P-K(r) denote a curve lying on a normal rational surface scroll S. Suppose that degC less than or equal to 2r - 1. Then there is a classification of C into three types. These are distinguished by their arithmetical genus, their Hartshorne-Rao module and their homological behavior. The classification is done by computations of the cohomology of certain divisors on the surface scroll. Finally several illustrating examples are discussed.

引用

页码：225 / 239

页数：15

共 12 条

[1]

Beauville A., 1996, COMPLEX ALGEBRAIC SU, V2nd

[2] Curves of degree r+2 in Pr:: Cohomological, geometric, and homological aspects [J].

Brodmann, M ;

Schenzel, P .

JOURNAL OF ALGEBRA, 2001, 242 (02) :577-623

[3] SOME LINEAR SYZYGY CONJECTURES [J].

EISENBUD, D ;

KOH, J .

ADVANCES IN MATHEMATICS, 1991, 90 (01) :47-76

[4]

GREEN M, 1988, COMPOS MATH, V67, P301

[5]

GREEN M, 1988, J DIFFER GEOM, V19, P301

[6] ON A THEOREM OF CASTELNUOVO, AND THE EQUATIONS DEFINING SPACE-CURVES [J].

GRUSON, L ;

LAZARSFELD, R ;

PESKINE, C .

INVENTIONES MATHEMATICAE, 1983, 72 (03) :491-506

[7]

HARRIS J, 1982, SEM MATH SUP PRESS U

[8]

Hartshorne R., 1977, GRADUATE TEXTS MATH

[9] Arithmetically Buchsbaum divisors on varieties of minimal degree [J].

Nagel, U .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (11) :4381-4409

[10]

RAO AP, 1979, INVENT MATH, V50, P205

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