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Stability of the Picard Bundle
Author(s) -
Biswas I.,
BrambilaPaz L.,
Gómez T. L.,
Newstead P. E.
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001170
Subject(s) - mathematics , moduli space , line bundle , rank (graph theory) , genus , pure mathematics , bundle , integer (computer science) , ample line bundle , algebraic curve , picard group , combinatorics , group (periodic table) , chemistry , botany , materials science , organic chemistry , computer science , composite material , biology , programming language
Let X be a non‐singular algebraic curve of genus g ⩾ 2, n ⩾ 2 an integer, ξ a line bundle over X of degree d > 2 n ( g − 1) with ( n , d ) = 1 and M ξ the moduli space of stable bundles of rank n and determinant ξ over X . It is proved that the Picard bundle W ξ is stable with respect to the unique polarisation of M ξ . 2000 Mathematics Subject Classification 14H60, 14J60.