The surprise for me is the absence of a definitive ruling by Jewish authorities on homosexual marriage. The Catholic Church, for example, bans homosexual marriage ... period. I believe the same is true for the Orthodox Church. Protestant churches, which emerged later, have differing views. Is there an "official" position by the Jews?
Of course, there is no central authority in Judaism.
The two orthodox Jewish rabbinic associations, Rabbinical Council of America and Agudath Israel of America, have issued no-compromise statements on “gay marriage”.
It’s not so much that the Orthodox Church “bans” homosexual marriage, as we regard it as an impossibility — Christ’s comments in reply to the query from the Sadducees about repeated levirate marriage and the resurrection defining the normative notion of marriage.
I suspect rabbinic Judaism has much the same take: there’s no need to have commented on an absurdity, so there is no formal position.
On the other hand, Leviticus does command the death penalty for lying with a man as with womankind (we Orthodox Christians narrowly interpret this as male-on-male anal sodomy, which alone among homoerotic acts — all of which are sinful and have canonical penances — has the canonical penance common to all sins punished by death under the Old Covenant of excommunication with communion of the Holy Mysteries on the deathbed only), so now that the issue has been raised, it’s rather obvious what the answer is.