Ulrich ideals and modules over two-dimensional rational singularities
S Goto, K Ozeki, R Takahashi, KI Watanabe… - Nagoya Mathematical …, 2016 - cambridge.org
S Goto, K Ozeki, R Takahashi, KI Watanabe, KI Yoshida
Nagoya Mathematical Journal, 2016•cambridge.orgThe main aim of this paper is to classify Ulrich ideals and Ulrich modules over two-
dimensional Gorenstein rational singularities (rational double points) from a geometric point
of view. To achieve this purpose, we introduce the notion of (weakly) special Cohen–
Macaulay modules with respect to ideals, and study the relationship between those modules
and Ulrich modules with respect to good ideals.
dimensional Gorenstein rational singularities (rational double points) from a geometric point
of view. To achieve this purpose, we introduce the notion of (weakly) special Cohen–
Macaulay modules with respect to ideals, and study the relationship between those modules
and Ulrich modules with respect to good ideals.
The main aim of this paper is to classify Ulrich ideals and Ulrich modules over two-dimensional Gorenstein rational singularities (rational double points) from a geometric point of view. To achieve this purpose, we introduce the notion of (weakly) special Cohen–Macaulay modules with respect to ideals, and study the relationship between those modules and Ulrich modules with respect to good ideals.
Cambridge University Press