Open AccessOn the moduli of stable sheaves on some nonreduced projective schemes
Author(s) -
Michi Aki Inaba
Publication year - 2003
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/s1056-3911-03-00333-3
Subject(s) - mathematics , moduli space , pure mathematics , stratification (seeds) , sheaf , moduli of algebraic curves , moduli , projective plane , mathematical analysis , geometry , physics , seed dormancy , botany , germination , quantum mechanics , dormancy , biology , correlation
We study the moduli space of stable sheaves on a projective scheme whose structure sheaf has a nilpotent ideal with some property. We introduce a stratification on this moduli space. Each stratum is the moduli space of some extensions of sheaves. This stratification is described on a curve with multiple structure and on a double plane, and the structure of each stratum is studied. In the case of a curve with multiple structure, we also study a local structure of the moduli space of stable sheaves.