Minimal sections of conic bundles
Bollettino dell'Unione Matematica Italiana (1999)
- Volume: 2-B, Issue: 2, page 401-428
- ISSN: 0392-4041
Access Full Article
topAbstract
topHow to cite
topIliev, Atanas. "Minimal sections of conic bundles." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 401-428. <http://eudml.org/doc/195662>.
@article{Iliev1999,
author = {Iliev, Atanas},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {maximal subbundles of rank two vector bundles; family of 1-cycles; smooth 3-fold; smooth surface; standard conic bundle; Abel-Jacobi maps; intermediate jacobian; theta divisor},
language = {eng},
month = {6},
number = {2},
pages = {401-428},
publisher = {Unione Matematica Italiana},
title = {Minimal sections of conic bundles},
url = {http://eudml.org/doc/195662},
volume = {2-B},
year = {1999},
}
TY - JOUR
AU - Iliev, Atanas
TI - Minimal sections of conic bundles
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 401
EP - 428
LA - eng
KW - maximal subbundles of rank two vector bundles; family of 1-cycles; smooth 3-fold; smooth surface; standard conic bundle; Abel-Jacobi maps; intermediate jacobian; theta divisor
UR - http://eudml.org/doc/195662
ER -
References
top- ARBARELLO, E.- CORNALBA, M.- GRIFFITHS, P. A.- HARRIS, J., Geometry of Algebraic Curves, Vol. I., Springer-Verlag, New York (1985). Zbl0559.14017MR770932
- BEAUVILLE, A., Variétés de Prym et jacobiennes intermédiaires, Ann. de l'AENS, 4 ser., 10 (1977), 149-196. Zbl0368.14018MR472843
- BLOCH, S.- MURRE, J. P., On the Chow group of certain types of Fano threefolds, Compositio Math., 39 (1979), 47-105. Zbl0426.14018MR539001
- CLEMENS, H., The quartic double solid revisited, Proc. Symp. Pure Math., 53 (1991), 89-101. Zbl0773.14021MR1141198
- CLEMENS, H.- GRIFFITHS, P., The intermediate jacobian of the cubic threefold, Ann. Math., 95 (1972), 281-356. Zbl0214.48302MR302652
- DEBARRE, O., Sur le theoreme de Torelli pour les solides doubles quartiques, Compositio Math., 73 (1990), 161-187. Zbl0712.14003MR1046736
- FRIEDMAN, R.- SMITH, R., Degenerations of Prym varieties and intersections of three quadrics, Invent. Math., 85 (1986), 615-635. Zbl0619.14027MR848686
- HARTSHORNE, R., Algebraic Geometry, Springer-Verlag (1977). Zbl0367.14001MR463157
- ILIEV, A., The theta divisor of bidegree threefold in , to appear in Pacific J. Math., Vol. 180, No. 1 (1997), 57-88. Zbl0885.14020MR1474894
- ILIEV, A., The Fano surface of the Gushel threefold, Compositio Math., 94 (1994), 81-107. Zbl0822.14021MR1302312
- ISKOVSKIKH, V. A., On the rationality problem for conic bundles, Duke Math. J., 54, 2 (1987), 271-294. Zbl0629.14033MR899398
- ISKOVSKIH, V. A., The double projection from a line on threedimensional Fano varieties..., Math. U.S.S.R. Sbornik, 180, 2 (1989), 260-278 (in Russian). Zbl0691.14027
- KOLLAR, J., Flops, Nagoya Math. J., 113 (1989), 14-36. Zbl0645.14004MR986434
- KAWAMATA, Y.- MATSUDA, K.- MATSUKI, K., Introduction to the minimal model problem, Algebraic Geometry, Sendai, June 24-25, 1985: Symp. Tokyo, Amsterdam (1987), 283-360. Zbl0672.14006MR946243
- LOGACHEV, D., The Abel-Jacobi isogeny for the Fano threefolds of genus 6, Constructive Algebraic Geometry, Yaroslavl, Vol. 200 (1982), 67-76 (in Russian). MR838123
- LANGE, H.- NARASIMHAN, M. S., Maximal subbundles of rank two vector bundles on curves, Math. Ann., 266 (1983), 55-72. Zbl0507.14005MR722927
- MORI, S., Threefolds whose canonical bundles are not numerically effective, Ann. Math., 116 (1982), 133-176. Zbl0557.14021MR662120
- MERKUR'EV, A. S., On the norm residue symbol of degree 2, Soviet Math. Dokl., 24 (1981), 546-551. Zbl0496.16020MR638926
- SARKISOV, V. G., Birational automorphisms of conical fibrations, Izv. Akad. Nauk SSSR, Ser. Mat., 44 (1980), 918-945 (in Russian). Zbl0453.14017MR587343
- SEILER, W., Deformations of ruled surfaces, J. Reine Angew. Math., 426 (1992), 203-219. Zbl0739.14022MR1155754
- TIKHOMIROV, A., The Abel-Jacobi map of sextics of genus 3 on double spaces of of index two, Soviet Math. Dokl., 33, 1 (1986), 204-206. Zbl0622.14032
- TJURIN, A., The middle Jacobian of three-dimensional varieties, J. Soviet Math., 13, 6 (1980), 707-744. Zbl0428.14015
- VERRA, A., The Prym map has degree two on plane sextics, preprint (1991). MR2112601
- VOISIN, C., Sur la jacobienne intermédiaire du double solide d'indice deux, Duke Math. J., 57, 2 (1988), 629-646. Zbl0698.14049MR962523
- WELTERS, G. E., A theorem of Gieseker-Petri type for Prym varieties, Ann. Sci. E.N.S., 4 ser., 18 (1985), 671-683. Zbl0628.14036MR839690
- ZAGORSKII, A. A., Three-dimensional conic bundles, Math. Notes Akad. Sci. USSR, 21 (1977), 420-427. Zbl0399.14026MR463181
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.