Page 1 Next

Displaying 1 – 20 of 30

Showing per page

Minimal resolution of general stable rank-2 vector bundles on P 2

Carla Dionisi, Marco Maggesi (2003)

Bollettino dell'Unione Matematica Italiana

We study general elements of moduli spaces M P 2 2 , c 1 , c 2 of rank-2 stable holomorphic vector bundles on P 2 and their minimal free resolutions. Incidentally, a quite easy proof of the irreducibility of M P 2 2 , c 1 , c 2 is shown.

Minimal sections of conic bundles

Atanas Iliev (1999)

Bollettino dell'Unione Matematica Italiana

Sia p : X P 2 un fibrato in coniche standard con curva discriminante Δ di grado d . La varietà delle sezioni minime delle superfici p - 1 C , dove C è una curva di grado d - 3 , si spezza in due componenti C + e C - . Si prova che, mediante la mappa di Abel-Jacobi Φ , una di queste componenti domina la Jacobiana intermedia J X , mentre l'altra domina il divisore theta Θ J X . Questi risultati vengono applicati ad alcuni threefold di Fano birazionalmente equivalenti a un fibrato in coniche. In particolare si prova che il generico...

Minimalité des courbes sous-canoniques

Mireille Martin-Deschamps (2002)

Annales de l’institut Fourier

Soient un fibré de rang 2 sur l’espace projectif de dimension 3 sur un corps algébriquement clos et n un entier tel que H 0 ( n - 1 ) = 0 et H 0 ( n ) 0 . Toute courbe C schéma des zéros d’une section non nulle de ( n ) est une courbe minimale dans sa classe de biliaison.

Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3

Ugo Bruzzo, Dimitri Markushevich, Alexander Tikhomirov (2012)

Open Mathematics

Symplectic instanton vector bundles on the projective space ℙ3 constitute a natural generalization of mathematical instantons of rank-2. We study the moduli space I n;r of rank-2r symplectic instanton vector bundles on ℙ3 with r ≥ 2 and second Chern class n ≥ r, n ≡ r (mod 2). We introduce the notion of tame symplectic instantons by excluding a kind of pathological monads and show that the locus I n;r* of tame symplectic instantons is irreducible and has the expected dimension, equal to 4n(r + 1)...

Currently displaying 1 – 20 of 30

Page 1 Next