Complete families of smooth space curves and strong semistability

被引：0

作者：

Benoist, Olivier ^{[1
]}

机构：

[1] ENS, Dept Math & Applicat, 45 Rue Ulm, F-75230 Paris 05, France

来源：

MATHEMATISCHE NACHRICHTEN | 2018年 / 291卷 / 16期

关键词：

Hilbert scheme; Hilbert-Kunz multiplicity; space curves; strong semistability; syzygy bundles; HILBERT-KUNZ MULTIPLICITY; VECTOR-BUNDLES; VARIETY; MODULI;

D O I：

10.1002/mana.201700251

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the first non-trivial examples of complete families of non-degenerate smooth space curves, and show that the base of such a family cannot be a rational curve. Both results rely on the study of the strong semistability of certain vector bundles.

引用

页码：2354 / 2366

页数：13

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