Abelian Hereditary Fractionally Calabi-Yau Categories

作者:van Roosmalen Adam Christiaan*
来源:International Mathematics Research Notices, 2012, (12): 2708-2750.
DOI:10.1093/imrn/rnr118

摘要

(1) the category of finite-dimensional representations of a Dynkin quiver; %26lt;br%26gt;(2) the category of finite-dimensional nilpotent representations of a cycle; %26lt;br%26gt;(3) the category of coherent sheaves on an elliptic curve or a weighted projective line of tubular type. %26lt;br%26gt;To obtain this classification, we introduce generalized 1-spherical objects and use them to obtain results about tubes in hereditary categories (which are not necessarily Calabi-Yau).

  • 出版日期2012