SMOOTHNESS AND IRREDUCIBILITY OF VARIETIES OF PLANE-CURVES WITH NODES AND CUSPS

被引：7
|
作者：
SHUSTIN, E
机构：
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1994年 / 122卷 / 02期
关键词：
FAMILY OF SINGULAR PLANE ALGEBRAIC CURVES; LINEAR SYSTEM; RIEMANN-ROCH THEOREM; IRREDUCIBILITY;
D O I：
10.24033/bsmf.2231
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let V(d, m, k) be the variety of plane projective irreducible curves of degree d with m nodes and k cusps as their only singularities. We prove that V(d, m, k) is non-empty, non-singular and irreducible when m + 2k < alphad2, where alpha is some absolute explicit constant. This estimate is optimal with respect to the exponent of d
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页码：235 / 253
页数：19
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