N. V. Timofeeva, “On the new compactification of moduli of vector bundles on a surface. II”, Sb. Math., 200:3 (2009), 405

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Sbornik: Mathematics, 2009, Volume 200, Issue 3, Pages 405–427
DOI: https://doi.org/10.1070/SM2009v200n03ABEH004002 (Mi sm5234)

This article is cited in 13 scientific papers (total in 13 papers)

On the new compactification of moduli of vector bundles on a surface. II

N. V. Timofeeva^ab

^a P. G. Demidov Yaroslavl State University
^b Yaroslavl State Pedagogical University named after K. D. Ushinsky

English version PDF (380 kB) Citations (13) Russian version article

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DOI: https://doi.org/10.1070/SM2009v200n03ABEH004002

Abstract: We construct a new compactification of the moduli scheme of Gieseker-stable vector bundles having fixed Hilbert polynomial on a smooth projective polarized surface $(S,H)$ defined over the field $k=\mathbb C$. Families of locally free sheaves on the surface $S$ are completed by locally free sheaves on surfaces that are certain modifications of $S$. The new moduli space has a birational morphism onto the Gieseker-Maruyama moduli space. We consider the case when the Gieseker-Maruyama space is the coarse moduli space.
Bibliography: 16 titles.

Keywords: moduli space, semistable coherent sheaves, pseudofamily, algebraic surface.

Received: 08.04.2008 and 24.11.2008

Bibliographic databases:

UDC: 512.722+512.723

MSC: 14J60

Language: English

Original paper language: Russian

Citation: N. V. Timofeeva, “On the new compactification of moduli of vector bundles on a surface. II”, Sb. Math., 200:3 (2009), 405–427

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/sm5234

https://doi.org/10.1070/SM2009v200n03ABEH004002

https://www.mathnet.ru/eng/sm/v200/i3/p95

Cycle of papers

On a new compactification of the moduli of vector bundles on a surface
N. V. Timofeeva
Mat. Sb., 2008, 199:7, 103–122
On the new compactification of moduli of vector bundles on a surface. II
N. V. Timofeeva
Mat. Sb., 2009, 200:3, 95–118
On a new compactification of moduli of vector bundles on a surface. III: Functorial approach
N. V. Timofeeva
Mat. Sb., 2011, 202:3, 107–160
On a new compactification of moduli of vector bundles on a surface. IV: Nonreduced moduli
N. V. Timofeeva
Mat. Sb., 2013, 204:1, 139–160
On a new compactification of moduli of vector bundles on a surface. V: Existence of a universal family
N. V. Timofeeva
Mat. Sb., 2013, 204:3, 107–134

This publication is cited in the following 13 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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