I found some interesting information about Messiah's geneology at www.whatjewsbelieve.com
For instance, Messiah cannot come through the royal line of Jehoiakim, that line was cursed, yet Jesus was a descendent of Shealtiel.
1 Chron. 3:15-17 and Jeremiah 22: 18, 30. Verse 30 shows no-one from that royal line will sit on David's throne. Thus by his geneology Jesus cannot be Messiah.
There is also information showing Jesus did not descend from Solomon, but the Messiah does.