Czasopismo
1998
|
Vol. 46, no 1
|
17-23
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
Here we study the birational structure of "exceptional" irreducible components of moduli schemes of rank 2 vector bundles on algebraic surfaces with negative Kodaira dimension. In particular for every rational surface X prove the existence of several such components which are rational.
Rocznik
Tom
Strony
17-23
Opis fizyczny
Bibliogr. 14 poz.,
Twórcy
autor
- Department of Mathematics, University of Trento, 38050 Povo (Tn), Italy, ballico@science.unitu.it
Bibliografia
- [1] E. Ballico, On rank 2 vector bundles on an algebraic surface, Forum Math., 4 (1992) 231-241.
- [2] E. Ballico, On moduli of vector bundles on surfaces with negative Kodaira dimension, Ann. Univ. Ferrara, 38 (1992) 33-40.
- [3] E. Ballico, L. Chiаntini, Some properties of stabl rank 2 vector bundles on algebraic surfaсе, Forum Math., 4 (1992) 417-424.
- [4] M. Beltrametti, P. Francia, A.J. Sommese, On Reider's method and higher order embeddings, Duke Math. J., 58 (1987) 109-128.
- [5] F. Catanese, Footnotes to a theorem of I. Reader, in: Algebraic Geometry, Proc. L'aquila 1988, Lect. Notes Math., 1417 Springer-Verlag, Berlin (1990) 67-74.
- [6] L. Costa, R. M. Mirb-Roiу, On the rationality of moduli spaces of vector bundles on certain rational surfaces, preprint.
- [7] Ph. Griffiths, J. Harris, Residues and zero-cycles on algebraic varieties, Ann. of Math., 108 (1978) 461-505.
- [8] Ph. Griffiths, J. Harris,, Principles of Algebraic Geometry, John Wiley & Sons, 1978.
- [9] M. Mаruyаma, Moduli of stable sheaves. II, J. Math. Kyoto Univ., 18 (1978) 557-614.
- [10] N. Mestrano, Poincaré bundles for projective surfaces, Ann. Inst. Fourier (Grenoble), 35 (1985) 217-249.
- [11] Z. B. Qin, Chamber structures of algebraic surfaces with Kodaira dimension zero and moduli spaces of stable rank two bundles, Math. Z., 207 (1991) 121-136.
- [12] Z. B. Qin, Equivalence classes of polarizations and moduli spaces of sheaves, J. Differ. Guru., 37 (1993) 397-415.
- [13] D. J. Saltman, Noether's problem over an algebraically closed field, Invent. Math., 77 (1984) 71-84.
- [14] A. N. Tyurin, Cycles, curves and vector bundles ort an algebraic surface, Duke Math. J., 54 (1987) 1-26.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT2-0001-1219