Algebraic surfaces with Eisenbud–Harris general fibration of genus 4 containing fibers of rank 3

被引：0
|
作者：
Tomokuni Takahashi
机构：
[1] National Institute of Technology,
[2] Ichinoseki College,undefined
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2022年 / 63卷
关键词：
Algebraic surfaces; Non-hyperelliptic fibrations; Relative dualizing sheaves; Slope; Horikawa indices; 14J29; 14D06; 14J10;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we investigate algebraic surfaces with Eisenbud–Harris general fibration of genus 4 satisfying a certain equality with respect to the invariants. In particular, we analyze the structure, prove the existence and construct families for these surfaces. Our surfaces are distinguished into several types from some points of view, namely, certain degenerate fibers and their number, and the direct image of the relative dualizing sheaf for the fibration. Furthermore, we obtain some results for the deformation that are related to these distinctions.
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页码：387 / 406
页数：19
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