Index 841 higher direct images, 410 Kawamata-Viehweg, 427 Kodaira, 421, 423 Mavlyutov, 424 Mustat¸ˇ 426 Nakano, 421, 423 Serre affine, 390 Serre projective, 392 Zariski p-forms, 423, 440 variety abstract, see abstract variety affine, see affine, variety complete, see complete variety, see complete variety Fano, 379 Gorenstein, 373 Gorenstein Fano, 379 toric, 380, 812 irreducible, see irreducible variety normal, see normal, variety of general type, 765 projective, see projective variety projectively normal, see projectively normal variety Q-Fano, 767 quasiprojective, see quasiprojective variety separated, see separated variety toric, see toric variety vector bundle, 250 chart of, 250 decomposable, 337 fiber above a point, 250, 257 sheaf of sections of, 252 toric, 335, 337 transition functions of, 250, 252 trivialization of, 250 Veronese embedding, 84, 691 Veronese subring, 691, 692 vertex, 63 very ample divisor, see Cartier divisor, very ample polyhedron, 322 polytope, 71, 75, 87, 269, 805 volume polynomial, 656, 660–662 reduced, 661, 662 wall, 265, 301 extremal, 306 wall crossing, 749, 751, 752, 759 wall relation, 301, 753 weak Oda conjecture, 792 weak splitting, 137, 768 wedge product, 355, 366 weighted homogeneous polynomial, 53 weighted projective space, 53, 112, 176, 188, 653, 655, 659, 810 Weil divisor, 159, 348 torus-invariant, see torus-invariant, Weil divisor Zariski 1-forms, 361 on a simplicial toric variety, 363 on a toric variety, 361 Zariski p-forms, 355, 416, 421, 423, 424, 435, 440 on a simplicial toric variety, 378 on a toric variety, 375 on an affine toric variety, 376 Zariski closure, 4 Zariski tangent space, 6, 101, 354 Zariski topology, 4, 50, 97 Zariski’s main theorem, 563 zonotope, 81, 285, 794
Previous Page Next Page