On a new compactification of moduli of vector bundles on a surface. III: Functorial approach

Journal Article · Thu Mar 31 00:00:00 EDT 2011 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2011V202N03ABEH004151; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21592561

Timofeeva, Nadezhda V ^[1]

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1. P.G. Demidov Yaroslavl State University, Yaroslavl (Russian Federation)

A new compactification for the scheme of moduli for Gieseker-stable vector bundles with prescribed Hilbert polynomial on the smooth projective polarized surface (S,L) is constructed. We work over the field k=k-bar of characteristic zero. Families of locally free sheaves on the surface S are completed with locally free sheaves on schemes which are modifications of S. The Gieseker-Maruyama moduli space has a birational morphism onto the new moduli space. We propose the functor for families of pairs 'polarized scheme-vector bundle' with moduli space of such type. Bibliography: 16 titles.

• OSTI ID: 21592561
• Journal Information: Sbornik. Mathematics, Vol. 202, Issue 3; Other Information: DOI: 10.1070/SM2011v202n03ABEH004151; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
COMPACTIFICATION
MATHEMATICAL SPACE
POLYNOMIALS
SURFACES
VECTORS
FUNCTIONS
SPACE
TENSORS