Local Structure of Brill-Noether Strata in the Moduli Space of Flat Stable Bundles
Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 259-280. 
@article{RSMUP_2009__121__259_0,
     author = {Martinengo, Elena},
     title = {Local {Structure} of {Brill-Noether} {Strata} in the {Moduli} {Space} of {Flat} {Stable} {Bundles}},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {259--280},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {121},
     year = {2009},
     mrnumber = {2542146},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2009__121__259_0/}
}
TY  - JOUR
AU  - Martinengo, Elena
TI  - Local Structure of Brill-Noether Strata in the Moduli Space of Flat Stable Bundles
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2009
SP  - 259
EP  - 280
VL  - 121
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_2009__121__259_0/
LA  - en
ID  - RSMUP_2009__121__259_0
ER  - 
%0 Journal Article
%A Martinengo, Elena
%T Local Structure of Brill-Noether Strata in the Moduli Space of Flat Stable Bundles
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2009
%P 259-280
%V 121
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_2009__121__259_0/
%G en
%F RSMUP_2009__121__259_0
Martinengo, Elena. Local Structure of Brill-Noether Strata in the Moduli Space of Flat Stable Bundles. Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 259-280. http://www.numdam.org/item/RSMUP_2009__121__259_0/

[A] M. Artin, On solutions to analytic equation, Invet. Math., vol. 5 (1968), pp. 277-291. | MR | Zbl

[F] K. Fukaya, Deformation theory, homological algebra and mirror symmetry, Geometry and physics of branes (Como, 2001), Ser. High Energy Phys. Cosmol. Gravit., IOP Bristol (2003), pp. 121-209. | MR

[G-M88] W. Goldman - J. Millson, The deformation theory of representations of foundamental groups of compact Kähler manifolds, Publ. Math. I.H.E.S., 67 (1988), pp. 43-96. | Numdam | MR | Zbl

[G-M90] W. Goldman - J. Millson, The homotopy invariance of the Kuranishi space, Illinois Journal of Math., 34 (1990), pp. 337-367. | MR | Zbl

[Hart] R. Hartshorne, Algebraic Geometry, Graduate text in mathematics, 52 (Springer, 1977). | MR | Zbl

[LePoi] J. Le Poitier, Lectures on vector bundles, Cambridge studies in advanced mathematics, 54 (Cambridge University Press, 1997). | MR | Zbl

[Man99] M. Manetti, Deformation theory via differential graded Lie algebras, Seminari di Geometria Algebrica 1998-1999, Scuola Normale Superiore (1999). | MR

[Man05] M. Manetti, Differential graded Lie algebras and formal deformation theory, notes of a course at AMS Summer Institute on Algebraic Geometry, Seattle, (2005).

[Man07] M. Manetti, Lie description of higher obstructions to deforming submanifolds, Ann. Scuola Norm. Sup. Pisa, (5), Vol. VI (2007), pp. 631-659. | Numdam | MR | Zbl

[N] A. M. Nadel, Singularities and Kodaira dimension of the moduli space of flat Hermitian-Yang-Mills connections, Comp. Math., 67 (1988), pp. 121-128. | Numdam | MR | Zbl

[Nor] A. Norton, Analytic moduli of complex vector bundles, Indiana Univ. Math. J., 28 (1979), pp. 365-387. | MR | Zbl

[S] M. Schlessinger, Functors of Artin rings, Trans. Amer. Math. Soc., 130 (1968), pp. 205-295. | MR | Zbl

[Ser] E. Sernesi, Deformation of algebraic schemes, Springer, (2006). | MR | Zbl

[Siu] Y. T. Siu, Complex-analyticity of harmonics maps, vanishing and Lefschetz theorems, J. Diff. Geom., 17 (1982), pp. 55-138. | MR | Zbl

[V] R. Vakil, Murphy's law in algebraic geometry: badly-behaved deformation spaces, Preprint, arXiv: math.AG/0411469. | MR | Zbl