@mastersthesis {2014,
	title = {Rational curves and instantons on the Fano threefold Y_5},
	year = {2014},
	school = {arXiv preprint},
	abstract = {This thesis is an investigation of the moduli spaces of instanton bundles on the Fano threefold Y_5 (a linear section of Gr(2,5)). It contains new proofs of classical facts about lines, conics and cubics on Y_5, and about linear sections of Y_5.

The main original results are a Grauert-M{\"u}lich theorem for the splitting type of instantons on conics, a bound to the splitting type of instantons on lines and an SL_2-equivariant description of the moduli space in charge 2 and 3.

Using these results we prove the existence of a unique SL_2-equivariant instanton of minimal charge and we show that for all instantons of charge 2 the divisor of jumping lines is smooth. In charge 3, we provide examples of instantons with reducible divisor of jumping lines. Finally, we construct a natural compactification for the moduli space of instantons of charge 3, together with a small resolution of singularities for it.},
	keywords = {Moduli space of vector bundles},
	url = {http://urania.sissa.it/xmlui/handle/1963/7482},
	author = {Giangiacomo Sanna}
}
