On rank semistable vector bundles over an irreducible nodal curve of genus
Bollettino dell'Unione Matematica Italiana (1998)
- Volume: 1-B, Issue: 3, page 611-629
- ISSN: 0392-4041
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topBrivio, Sonia. "On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 611-629. <http://eudml.org/doc/195998>.
@article{Brivio1998,
author = {Brivio, Sonia},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {nodal curve; theta divisor; Jacobian},
language = {eng},
month = {10},
number = {3},
pages = {611-629},
publisher = {Unione Matematica Italiana},
title = {On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$},
url = {http://eudml.org/doc/195998},
volume = {1-B},
year = {1998},
}
TY - JOUR
AU - Brivio, Sonia
TI - On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 611
EP - 629
LA - eng
KW - nodal curve; theta divisor; Jacobian
UR - http://eudml.org/doc/195998
ER -
References
top- ALEXEEV, V., Compactified Jacobians, Preprint (1996).
- ATIYAH, M. F., Vector bundles over an elliptic curve, Proc. London Math. Soc., 7 (1957), 414-452. Zbl0084.17305MR131423
- ARBARELLO, E.- CORNALBA, M.- GRIFFITHS, P. A.- HARRIS, J., Geometry of Algebraic Curves, I, Springer, Berlin (1985). Zbl0559.14017
- BARDELLI, F., Stable curves, Lectures on Riemann surfaces, Proc. of College at I.C.T.P.Trieste (1987).
- BERTRAM, A., Moduli of rank two vector bundles, theta divisors, and the geometry of curves in projective spaces, J. Diff. Geom., 35 (1992), 429-469. Zbl0787.14014MR1158344
- BRIVIO, S.- VERRA, A., The theta divisor of is very ample if is not hyperelliptic, Duke Math. J., 82, 3 (1996), 503-552. Zbl0876.14024MR1387683
- CATANESE, F., Pluricanonical-Gorenstein curves, Enumarative Geometry and Classical Algebraic Geometry, Nice, Prog. in Math., Birkhäuser, 24 (1981), 51-95. Zbl0518.14017MR685764
- CATANESE, F.- FRANCIOSI, M., Divisor of small genus on algebraic surfaces and projective embeddings, Israel Mathematical Conference Proc. Zbl0855.14004
- CATANESE, F.- FRANCIOSI, M.- HULEK, K.- REID, M., Embeddings of curves and surfaces, Preprint (1996). Zbl0933.14003
- D'SOUZA, C., Compactification of generalized Jacobian, Proc. Indian Acad. Sci. Sect. Math. Sci., 88 (1979), 419-457. Zbl0442.14016MR569548
- EISENBUD, D.- HARRIS, J., On varieties of minimal degree, (A centennial account), Algebraic Geometry, Proceeding of Symposia in Pure Mathematics, 46 (1987), 3-13. Zbl0646.14036MR927946
- GRIFFITHS, P. A.- HARRIS, J., Principles of Algebraic Geometry, Wiley, New-York (1978). Zbl0408.14001MR507725
- HARTSHORNE, R., Algebraic Geometry, Springer, Berlin (1977). Zbl0367.14001MR463157
- MUMFORD, D., On the equations defining Abelian Varieties, Invent. Math., 1 (1966), 287-354. Zbl0219.14024MR204427
- NEWSTEAD, P. E., Lectures on Introduction to Moduli Problems and Orbit Spaces, Tata Institute of Fundamental Research, Bombay (1978). Zbl0411.14003MR546290
- NARASIMHAN, M. S.- RAMANAN, S., Moduli of vector bundles on a compact Riemann surface, Ann. Math., 89 (1969), 19-51. Zbl0186.54902MR242185
- NARASIMHAN, M. S.- RAMANAN, S., 2-theta linear systems on Abelian Varieties, Vector Bundles on Algebraic Varieties, Oxford (1989), 415-427. Zbl0685.14023MR893605
- SESHADRI, C. S., Space of unitary vector bundles on a compact Riemann surface, Ann. Math., 85 (1967), 303-336. Zbl0173.23001MR233371
- SESHADRI, C. S., Fibres Vectoriels sur les courbes algebriques, Asterisque, 96 (1982). Zbl0517.14008MR699278
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