Cryptic crossword No 4,002

Across

1. Show history of American center falling apart (7)
2. Absolute cinema's beginning soon (5)
3. First bit of light drink enthralling peacekeepers (5)
4. Brown's company eying value, restructuring with some number dismissed (3,6)
5. Clever joke? Daughter's chock-full (7)
6. At first, nobody ever explained how one was born (3)
7. Prevent small Yankee plant covering earth? It's the least I can do (4,7)
8. What fish you catch ultimately? (3)
9. Ties up number in empty thoughts (7)
10. Underwood eloquently pens set of verses (3)
11. Dilapidated area used to be initially thriving, dynamic, full of style (9)
12. Second year carrying books, one tightly embracing zany troupe (5,6)
13. Lower part of jabberwock recoiling (3)
14. Audio translator church included in firm guidance briefly (7)
15. Iron, gold and aluminum protecting millions of thighs (7)

Down

1. Loser we enrolled in development (4-2-4)
2. Weight of crimes considered internally (4)
3. Beneath back of ship, bums uncovered piece of chest (7)
4. After opening of patisserie, Holly cooked flaky dough (6)
5. A lot of wood chips taking away source of lumber (4)
6. Makes use of high-fiber meals? (10)
7. Illustrious Russian ruler demoting leader of Tomsk (4)
8. Those loudly praising some swans? (10)
9. Study solid water cycles in pristine conditions (6)
10. Cancel Edna from moving around - she gets invigorated by Spanish rhythms (8,6)
11. "Dutch cheese"? That's made up (4)
12. Component of girl's makeup extremely sheer in, say, French city (10,4)
13. In Paris, good time after morning relaxing (7)
14. Damaged Gateway Arch? Ditch hotel and flee in this (7,3)