Short and sweet : a simple endgame study

This is just a simple little study I came up with in my spare time. It's almost too easy to be called an actual study, so I won't even include the solution. It shouldn't take very long for someone to figure it out. Well, here it is:

 What about:  

1...Kc2 instead of Kxe3

2...Kxf3 instead of Kd3

5...Kb3 instead of a1=Q?  :)

 Your comments and analysis are very, VERY much appreciated! Also you're REALLY close to solving this, but a little bit of analysis is still needed. For instance, at the end of your line with 1...Kc2, the position is drawn (as you said it might be). In your 2...Kxf3 variation, 3...f4! is the best move for Black. At the end of the line for 5...Kb3, after 6.h8=Q c3 7.Qh1 Kb2 8.Qh2+ c2 9.Kb4 a1=Q 10.Qh8+, Black can just play Kb1, defending his queen. White must FORCE a win in ALL these variations for 1.Qe3+ to work as the "winning" move.

Wait a second I thought you said this wasn't really a study, it was just an easy solution, now we have to prove wins in multiple lines 

Can nobody solve this??! Ok, maybe, it's not so easy, but it's definitely not hard, either. I really hope someone finds the solution soon, so good luck! All input is welcome.

Ok, so I took 10_1_3_1_19's analysis to make it easier on myself and then just changed a few things.  At first thought it was just a draw in the 1...Kc2 line, but I might have found the thematic move you were looking for. 

Also 1.Nxd5 is worth considering as it wins a whole piece... even though the Qe3+ way is probably a cleaner and better way to win.

 Yes, very good. Your solution covers all the important variations, but it might interest you that 1.Nxd5? actually allows Black to draw. I specifically designed the position so that White would not be able to win that way. Here are some of the lines:

(By the way, you came up with this in your spare time?  This is really good IMO)

I see you included the line where black plays a2 to make the knight capture it as both sides queen.  I thought white could force a trade faster, I didn't see the maneuver ending with Qd1+ that seals the win.

I think Nb4 kind of gives up quickly, it should be harder on black if white just moves his king I think.  The knight has the fork Nb4 if the a pawn tries to move, and white can start pushing his own pawn -- I think to find a draw this way would be much more complicated for black.

Well, what's going to happen is:

Thanks for the compliment, btw.

10.  Qh7+ (post #12)

After 3...c2 there's a mate in 4: Qe3+  Nb6+ Qc5+ Qc4#

But after 2...c3 there's

Heh, sorry.  I took your earlier comment more as "the ideas in this position are very familiar to a similar study I've seen"  because when I see familiar games / positions I may say something like that and not mean it.  I guess you actually meant you'd seen it before so nvm

 You have... It is on chessmaster 10th edition.