Faenzi, Daniele:
Cohomology of Tango bundle on $\mathbb{P}^5$
Bollettino dell'Unione Matematica Italiana Serie 8 9-B (2006), fasc. n.2, p. 319-326, (English)
pdf (399 Kb), djvu (85 Kb). | MR 2233141 | Zbl 1178.14011
Sunto
-- Il fibrato di Tango è definito come pull-back del fibrato di Cayley $C$ su una e quadrica liscia $Q_5$ in $\mathbb{P}_6$ attraverso una funzione $f$ definita in caratteristica 2 che fattorizza il morfismo di Frobenius $\varphi$. La coomologia di $T$ è calcolata in termini di $S \otimes C$, $\varphi^*(C)$, $\text{Sym}^2(C)$ e $C$, che si studiano con il teorema di Borel-Bott-Weil.
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