What's missing from the above explanations is what is really going on that causes any kind of explosion at all.
I'm going to steal from xkcd to help with this:
And here's an article from the Max Planck Institute that talks in depth about the nature of the neutrino aspect:
Ultimately, when the star is in it's dying moments, it starts emitting neutrinos. A lot of neutrinos... with a lot of energy. Now, I'm sure you're thinking "what would that do... they don't weigh much of anything". But this is literally like being buried in a football stadium with ants... there are so many neutrinos packing so much energy that they literally cause the outer matter of the star to be blown outwards with large enough energy to carry it away from the gravity well of the remaining matter.
Ah... but how does any matter remain? Because close to the center, the gravity well is deepest, and also close to the center any particle (nucleus/neutron) is being bombarded just about equally in all directions by neutrinos... so the total momentum effectively cancels to zero. Some of the matter is moved a bit... but falls back into the very deep gravity well.
I'm sure it would be a sight to behold... for that brief moment before you were vaporized by neutrinos (and all the other energy) at least.