The most common oxide of boron is boron trioxide, $\ce{B2O3}$, which is the anhydride of boric acid:
$$\ce{H3BO3 -> HBO2 + H2O}$$
$$\ce{2HBO2 -> B2O3 + H2O}$$
$$\text{net} \ \ce{2H3BO3 -> B2O3 + 3H2O}$$
As the anhydride of an acid, boron trioxide is acidic. It reacts with water to regenerate the acid:
$$\ce{B2O3 + 3H2O -> 2H3BO3}$$
Boric acid's acidity does not derive from the dissociation of a proton (or abstraction of a proton by water), as does many acids, for example sulfuric acid:
$$\ce{H2SO4 <=> H+(aq) +HSO4- (aq)}$$
$$\ce{H2SO4 + H2P <=> H+(aq) + HSO4- (aq)}$$
Boric acid (written now as $\ce{B(OH)3}$, which is suggestive of its structure) instead reacts with water by forming a dative complex which is the active acid. A water molecule associates with the empty $p$ orbital on boron. This difference in behavior is enabled also by the electropositive character of boron. The acidic oxides of some metals behave similarly.
$$\ce{H2O + B(OH)3 <=>H2OB(OH)3 <=>H+(aq) + B(OH)4^- (aq)}$$