bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Brivio, Sonia:
On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$
Bollettino dell'Unione Matematica Italiana Serie 8 1-B (1998), fasc. n.3, p. 611-629, Unione Matematica Italiana (English)
pdf (285 Kb), djvu (244 Kb). | MR1662337 | Zbl 0934.14021

Sunto

Sia $C$ una curva irriducibile nodale di genere aritmetico $p_{a}=2$. In queste note vogliamo mostrare come il sistema lineare delle quadriche, contenenti un opportuno modello proiettivo della curva, permette di descrivere i fibrati vettoriali semistabili, di rango $2$, su $C$.
Referenze Bibliografiche
[A] V. ALEXEEV , Compactified Jacobians, Preprint (1996). | fulltext mini-dml
[AT] M. F. ATIYAH , Vector bundles over an elliptic curve, Proc. London Math. Soc., 7 (1957), 414-452. | MR 131423 | Zbl 0084.17305
[A-C-G-H] E. ARBARELLO - M. CORNALBA - P. A. GRIFFITHS - J. HARRIS , Geometry of Algebraic Curves, I, Springer, Berlin (1985). | Zbl 0559.14017
[Ba] F. BARDELLI , Stable curves, Lectures on Riemann surfaces, Proc. of College at I.C.T.P. Trieste (1987).
[BE] A. BERTRAM , Moduli of rank two vector bundles, theta divisors, and the geometry of curves in projective spaces, J. Diff. Geom., 35 (1992), 429-469. | fulltext mini-dml | MR 1158344 | Zbl 0787.14014
[B-V] S. BRIVIO - A. VERRA , The theta divisor of $\mathcal{SU}_C(2)^s$ is very ample if $C$ is not hyperelliptic, Duke Math. J., 82, 3 (1996), 503-552. | fulltext mini-dml | MR 1387683 | Zbl 0876.14024
[C] F. CATANESE , Pluricanonical-Gorenstein curves, Enumarative Geometry and Classical Algebraic Geometry, Nice, Prog. in Math., Birkhäuser, 24 (1981), 51-95. | MR 685764 | Zbl 0518.14017
[C-F] F. CATANESE - M. FRANCIOSI , Divisor of small genus on algebraic surfaces and projective embeddings, Israel Mathematical Conference Proc. | Zbl 0855.14004
[C-F-H-R] F. CATANESE - M. FRANCIOSI - K. HULEK - M. REID , Embeddings of curves and surfaces, Preprint (1996). | fulltext mini-dml | Zbl 0933.14003
[D] C. D'SOUZA , Compactification of generalized Jacobian, Proc. Indian Acad. Sci. Sect. Math. Sci., 88 (1979), 419-457. | MR 569548 | Zbl 0442.14016
[E-H] D. EISENBUD - J. HARRIS , On varieties of minimal degree, (A centennial account), Algebraic Geometry, Proceeding of Symposia in Pure Mathematics, 46 (1987), 3-13. | MR 927946 | Zbl 0646.14036
[G-H] P. A. GRIFFITHS - J. HARRIS , Principles of Algebraic Geometry, Wiley, New-York (1978). | MR 507725 | Zbl 0408.14001
[H] R. HARTSHORNE , Algebraic Geometry, Springer, Berlin (1977). | MR 463157 | Zbl 0367.14001
[M] D. MUMFORD , On the equations defining Abelian Varieties, Invent. Math., 1 (1966), 287-354. | MR 204427 | Zbl 0219.14024
[N] P. E. NEWSTEAD , Lectures on Introduction to Moduli Problems and Orbit Spaces, Tata Institute of Fundamental Research, Bombay (1978). | MR 546290 | Zbl 0411.14003
[N-R1] M. S. NARASIMHAN - S. RAMANAN , Moduli of vector bundles on a compact Riemann surface, Ann. Math., 89 (1969), 19-51. | MR 242185 | Zbl 0186.54902
[N-R2] M. S. NARASIMHAN - S. RAMANAN , 2-theta linear systems on Abelian Varieties, Vector Bundles on Algebraic Varieties, Oxford (1989), 415-427. | MR 893605 | Zbl 0685.14023
[S1] C. S. SESHADRI , Space of unitary vector bundles on a compact Riemann surface, Ann. Math., 85 (1967), 303-336. | MR 233371 | Zbl 0173.23001
[S2] C. S. SESHADRI , Fibres Vectoriels sur les courbes algebriques, Asterisque, 96 (1982). | MR 699278 | Zbl 0517.14008

La collezione può essere raggiunta anche a partire da EuDML, la biblioteca digitale matematica europea, e da mini-DML, il progetto mini-DML sviluppato e mantenuto dalla cellula Math-Doc di Grenoble.

Per suggerimenti o per segnalare eventuali errori, scrivete a

logo MBACCon il contributo del Ministero per i Beni e le Attività Culturali