Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology

• Autorzy: Edoardo Ballico , Francesco Malaspina
• Języki publikacji: EN

Abstrakty

EN

Here we study vector bundles E on the Hirzebruch surface F e such that their twists by a spanned, but not ample, line bundle M = $$ \mathcal{O} $$ Fe(h + ef) have natural cohomology, i.e. h 0(F e, E(tM)) > 0 implies h 1(F e, E(tM)) = 0.

Słowa kluczowe

EN

Hirzebruch surface; vector bundle; natural cohomology

Kategorie tematyczne

• 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 1
• Strony: 143-148

Daty

wydano

2008-03-01

online

2008-02-26

Twórcy

autor

Edoardo Ballico

• University of Trento

autor

Francesco Malaspina

• Università di Torino

Bibliografia

• [1] Catanese F., Footnotes to a theorem of Reider, In: Sommese A.J., Biancofiore A., Livorni E.L. (Eds.), Algebraic Geometry Proceedings(L’Aquila 1988), Lecture Notesin Math. 1417, Springer, Berlin, 1990, 67–74 http://dx.doi.org/10.1007/BFb0083333
• [2] Fogarty J., Algebraic families on analgebraic surface, Amer. J. Math., 1968, 90, 511–521 http://dx.doi.org/10.2307/2373541
• [3] Hartshorne R., Stable reflexive sheaves, Math. Ann., 1980, 254, 121–176 http://dx.doi.org/10.1007/BF01467074
• [4] Huybrechts D., Lehn M., The geometry of moduli spaces of sheaves, Friedr. Vieweg & Sohn, Braunschweig, 1997

Identyfikatory

DOI

10.2478/s11533-008-0009-9