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On the existence of Ulrich vector bundles on some irregular surfaces
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-10-16 , DOI: 10.1090/proc/15278 Angelo Felice Lopez
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-10-16 , DOI: 10.1090/proc/15278 Angelo Felice Lopez
Abstract:We establish the existence of rank two Ulrich vector bundles on surfaces that are either of maximal Albanese dimension or with irregularity 
, under many embeddings. In particular, we get the first known examples of Ulrich vector bundles on irregular surfaces of general type. Another consequence is that every surface such that either 
or 
and its minimal model has rank one, carries a simple rank two Ulrich vector bundle.
中文翻译：
关于某些不规则表面上Ulrich向量束的存在
摘要：我们建立了在许多嵌入下，最大阿尔巴尼维斯尺寸或不规则表面上的第二级Ulrich向量束的存在。特别是，我们得到了一般类型的不规则表面上Ulrich向量束的第一个已知示例。另一个结果是，每个表面（使或或其最小模型具有等级1）携带简单等级2的Ulrich向量束。
更新日期：2020-11-12
, under many embeddings. In particular, we get the first known examples of Ulrich vector bundles on irregular surfaces of general type. Another consequence is that every surface such that either or and its minimal model has rank one, carries a simple rank two Ulrich vector bundle. 中文翻译：
关于某些不规则表面上Ulrich向量束的存在
摘要：我们建立了
在许多嵌入下，最大阿尔巴尼维斯尺寸或不规则表面上的第二级Ulrich向量束的存在。特别是，我们得到了一般类型的不规则表面上Ulrich向量束的第一个已知示例。另一个结果是，每个表面（使或或其最小模型具有等级1）携带简单等级2的Ulrich向量束。
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