Below is a summary of scientific and historical evidence supporting the authenticity of the Shroud of Turin as the ancient burial cloth of the historical Jesus of Nazareth.
by J. Michael Fischer, adapted from the original article by John C. Iannone
At this link it is the most comprehensive article on the Shroud of Turin that I have come across. All of the major facts are available in a paper that is about ten pages in length.
See also the FAQ at this link.
Here too is a link to John C. Iannone's book The Mystery of the Shroud of Turin.