A duality result for moduli spaces of semistable sheaves supported on projective curves
Maican, Mario
Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), p. 55-68 / Harvested from Numdam
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Publié le : 2010-01-01
@article{RSMUP_2010__123__55_0,
     author = {Maican, Mario},
     title = {A duality result for moduli spaces of semistable sheaves supported on projective curves},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {124},
     year = {2010},
     pages = {55-68},
     mrnumber = {2683291},
     zbl = {1202.14036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2010__123__55_0}
}

Maican, Mario. A duality result for moduli spaces of semistable sheaves supported on projective curves. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010) pp. 55-68. http://gdmltest.u-ga.fr/item/RSMUP_2010__123__55_0/

[1] Aleksandr Beilinson, Coherent Sheaves on ℙ n and Problems of Linear Algebra, Func. Anal. Appl., 12 (1979), pp. 214--216. (Translation of Funktsional. Anal. i Prilozhen. 12 (1978), pp. 68--69.) | MR 509388 | Zbl 0424.14003

[2] Jean-Marc Drézet, Variétés de modules extrémales de faisceaux semi-stables sur ℙ 2 (C), Math. Ann., 290 (1991), pp. 727--770. | MR 1119949 | Zbl 0755.14005

[3] Jean-Marc Drézet - Günther Trautmann, Moduli Spaces of Decomposable Morphisms of Sheaves and Quotients by Non-Reductive Groups, Ann. Inst. Fourier, 53 (2003), pp. 107--192. | Numdam | Zbl 1034.14023

[4] David Eisenbud - Gunnar Fløystad - Frank-Olaf Schreyer, Sheaf Cohomology and Free Resolutions over Exterior Algebras, Trans. Am. Math. Soc., 355 (2003), pp. 4397--4426. | MR 1990756 | Zbl 1063.14021

[5] Hans-Georg Freiermuth, On the Moduli Space M P (ℙ 3 ) of Semi-stable Sheaves on ℙ 3 with Hilbert Polynomial P(m)=3m+1, Diplomarbeit at Univ. Kaiserslautern (December, 2000).

[6] Hans-Georg Freiermuth - Günther Trautmann, On the Moduli Scheme of Stable Sheaves Supported on Cubic Space Curves, Amer. J. Math., 126 (2004), pp. 363--393. | MR 2045505 | Zbl 1069.14012

[7] Alexandre Grothendieck, Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux, Séminaire de Géométrie Algébrique du Bois Marie 1962, Societé Mathématique de France, e-print 0511279. | Zbl 1079.14001

[8] Robin Hartshorne, Residues and Duality, Lecture Notes in Mathematics, 20 (Springer Verlag, Berlin, 1966). | MR 222093 | Zbl 0212.26101

[9] Robin Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, 52 (Springer Verlag, New York, 1977). | MR 463157 | Zbl 0367.14001

[10] Peter Hilton - Urs Stammbach, A Course in Homological Algebra, Graduate Texts in Mathematics, 4 (Springer Verlag, New York, 1971). | MR 346025 | Zbl 0238.18006

[11] James Humphreys, Linear Algebraic Groups, Graduate Texts in Mathematics, 21 (Springer Verlag, New York, 1975). | MR 396773 | Zbl 0325.20039

[12] Daniel Huybrechts - Manfred Lehn, The Geometry of Moduli Spaces of Sheaves, Aspects of Mathematics, E31 (Friedr. Vieweg & Sohn, Braunschweig, 1997). | MR 1450870 | Zbl 0872.14002

[13] Joseph Le Potier, Lectures on Vector Bundles, Cambridge University Press, 1997, translated by A. Maciocia. | MR 1428426 | Zbl 0872.14003

[14] Mario Maican, On Two Notions of Semistability, Pacific J. Math., 234 (2008), pp. 69--135. | MR 2375315 | Zbl 1160.14007

[15] Christian Okonek - Michael Schneider - Heinz Spindler, Vector Bundles on Complex Projective Spaces, Progress in Mathematics, 3 (Birkhäuser, Boston, 1980). | MR 561910 | Zbl 0438.32016