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| Catanese F. (Ed) — Global Aspects of Complex Geometry |
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| Предметный указатель |
Moduli spaces 471
Moduli spaces, existence theorems 471
Mok, Ngaiming 376 385—388
Moment map 240
Momentum map 211—214 216 217 220 225
Momentum norm 215 217 221
Monodromy group 437
Monsky — Washnitzer cohomology 297
Mordell conjecture 405
Mori, Shigefumi 359 361 363 364 368 370
Mori, Shigefumi, Bend-and-Break argument see Bend-and-Break
Mori, Shigefumi, Reduction argument modulo p 368
Motive 466
Motivic cohomology 59
Movable cone 315
Movable curve 315
MRCC fibration see Maximally rationally chain connected fibration
Multiplier ideal sheaf 314
Mumford, David 361 363
Mumford, David, conjecture relating uniruledness and Kodaira dimension 361
Mumford-Tate group 436
Nadel, Alan M. 388 390
Nadel, Alan M., generalization 390
Nadel, Alan M., product theorem 390
Narasimhan, Mudumbai S. 394—396
Narasimhan. Raghavan 398
Nef dimension 335
Nef line bundle 313 314 321 326
Nef reduction 322 336
Newform 278 302
Node 173
Non-degenerate singular point 162
Non-degenerate special point 162
Normal function 459
O'Neill tensor 373 386
Orbit duality 241
Order of T-existence 192
Painleve property 460
Parabolic 239
Parshin, Alexei N. 405
Partial crepant resolution 339
Partial rationally connected quotients 373 374
Partial rationally connected quotients, (in)dependence of polarization 374
Partial resolution of singularities 380
Patchworking method 190 193
Paun, Mihai 359 361 see
Peternell, Thomas 359 361 see
Petersson — Weil metric 475 480 481 487
Petersson — Weil metric, curvature 476
Picard modular surface 462
Picard — Fuchs equation 299 459
Poincare 74
Potential 212 217 224
Pseudo-effective cone 313 315
Pseudo-effective line bundle 313—315 318 319 321 324
purity 62
Radial index of a 1-form 134 136
Radial index of a vector field 134 135
Radical 229
Radloff, Ivo 359
Ramanan, S. 394—396
Ramanathan, Annamalai 362 402 403 see
Rank of a real form 237
Rational chain connectivity 363 see
Rational chain connectivity is not a birational invariant 365
Rational connectivity 363 see
Rational connectivity, criterion 364
Rational connectivity, criterion for the leaf of a foliation see Leaf of a foliation
Rational connectivity, implies simple connectivity 364
Rational connectivity, openness of 364
Rational curve see Family of rational curves Space
Rational curve of minimal degree is determined by a point and a tangent direction 385
Rational curve of minimal degree is determined by two points 385
Rational curve of minimal degree is hardly ever singular see Family of rational curves
Rational curve, existence conjecture of Mumford see Mumford
Rational curve, existence if  is not nef 361
Rational curve, existence on Fano manifolds 361
Rational curve, existence result of Miyaoka see Miyaoka criterion
Rational curve, free 378 409
Rational curve, immersed 379
Rational curve, singular 379—384
Rational curve, splitting type 378
Rational curve, standard 378
Rational homogeneous space 385
Rational points 60 62
Rational quotient 325 see
Rationally connected 312 320 323 332 336
Rationally connected quotient 363—365 367 371 374 400
Rationally connected quotient, morphism subsheaf vertical with respect to 371
Rationally connected quotient, non-uniruledness see GHS Theorem
Rationally connected quotient, relative deformations over see Deformation space of a surjective
Real form 211 213 214 220 221 233
Real GSV index 140
Real structure 233
Reduced Euler characteristic 145
Reductive 235
Reeb stability theorem 364
Refinement of Stein factorization 360 400
Remmert — Van de Ven / Lazarsfeld problem 388
Representation 230
Restricted roots 237
Riemann Singularity Theorem 360
Riemann — Hilbert correspondence 59 75
Riemannian symmetric space 234
Rigid cohomology 60 65 66
Ring of big Witt vectors 59 69
Root spaces 231
SCALE 244
Schoen quintic 291 299
Schubert cell 240
Schubert envelope 253
| Schubert incidence variety 253
Schubert slice 250
Schubert variety 240
Semipositive vector bundle 362
Semiquasi homogeneous hypersurface singularity 185
Semisimple 229
Semistable 212 216
Severi variety 176
Shafarevich conjecture 419
Shafarevich, Igor R. 360 405
Shafarevich, Igor R., Finiteness conjecture 405
Shafarevich, Igor R., Hyperbolicity conjecture 360 405
Shimura curve 421 445
Shimura variety 437 460
Simple variety 317 327
Simpson correspondence 425 403
Simpson correspondence, unitary local systems 425
Simpson correspondence, variation of Hodge structures 425
Simultaneous Resolution 350
Singular metric 313
Singular point of a 1-form 133
Singular point of a manifold 133
Singular point of a vector field 133
Slice 236
Slice model 265
Slice theorem 223 226
slope 60 65 66
Small contraction 341 342
Small set avoidance theorem 409
Smoothing 342 350
Space of rational curves on a variety 377 see
Space of rational curves on a variety, relation with the Horn-scheme 377
Space of rational curves on a variety, through a given point is proper if degree is minimal 378
Spanning dimension see Family of rational curves
Special point 161
Spherical embedding 248
Spherical variety 239
Stability of the tangent bundle see Tangent bundle
Standard conjecture 466
Starr, Jason 359 365 see
Stein factorization see Refinement of Stein factorization. Maximally etale factorization
Strongly rigid varieties 30
Sun, Xiaotao 395—397
Surfaces isogenous to a product 18
T-smooth 172
Tangent bundle of the moduli space of vector bundles on a curve see Moduli space of vector bundles curve
Tangent bundle of the variety of minimal rational tangents see Variety of minimal rational tangents
Tangent bundle, positivity 361
Tangent bundle, stability and partial rationally connected quotients see Partial rationally connected quotients
Tangent map 383 see
Tangent map for Hecke curves in the moduli space of vector bundles on a curve see Moduli space of vector bundles on a curve
Tangent map global 384
Tangent map, generic injectivity 385
Tangent morphism 376 383—387 see
Tangent morphism, birationality 376 385—387
Tangent morphism, existence 376
Tangent morphism, liniteness 376
Taniyama — Shimura — Weil conjecture 271 283
Tate conjecture 304
Tate twist 280
Teichmueller curve 422 442
Teichmueller curve, charactoi ization 422
Teichmueller curve. Held of definition 422
Teichmueller disc 442
Teichmueller space 441
Theta divisor 66
Topological type 178
Trace transfrom 245
Transcendental lattice 288 295
Triangle curves 31
Tsunoda, Shuichiro 375
Uniqueness of contact structures see Contact manifold
Uniruled 312 318 319
Uniruledness criterion of Miyaoka see Miyaoka Yoichi
Unit  -module 76
Universal cover 333 334
Universal domain 256
Vanishing result in characteristic p 363 369 370
Vanishing threshold 369 370
Variation of a family see Family of canonically polarized varieties
Variety of minimal degree 347 348
Variety of minimal rational tangents 360 379 383—393 397 399
Variety of minimal rational tangents has smooth normalization 387
Variety of minimal rational tangents of the moduli space of vector bundles on a curve see Moduli space of vector bundles on a curve
Variety of minimal rational tangents, determines the variety see Cartan — Fubini type theorem
Variety of minimal rational tangents, example applications 388
Variety of minimal rational tangents, importance 387
Variety of minimal rational tangents, secant defect 388
Variety of minimal rational tangents, secant defect, for the Moduli space of vector bundles on a curve see Moduli space of vector bundles on a curve
Variety of minimal rational tangents, secant variety and spanning dimension 390
Variety of minimal rational tangents, secant variety and spanning dimension, for varieties covered by lines 390
Variety of minimal rational tangents, short explanation 360
Variety of minimal rational tangents, tangent space for varieties covered by lines 385
Variety of minimal rational tangents, total 384
Vector field 133
Versality of deformation 200
Vertical subsheaf with respect to the rationally connected quotient see Rationally connected quotient
Viehweg, Eckart 360 407 411 see
Viehweg, Eckart, conjecture relating variation and log Kodaira dimension 360
Viehweg, Eckart, generalization of 406
Viehweg, Eckart, proof in dimension two see Family of canonically polarized varieties
VMRT 387 388 391 393 variety
Vortex equation 492 494
VZ Theorem, existence of pluri-log differentials on the base of a family 405 407—408 111
Weierstrab curve 86 87 107 112 114—117 123 124 126
Weil Conjectures 273
Witt complex 70
Witt vector cohomology 60
Yang — Mills connection 483 485 486
Zhang, De-Qi 375
Zuo, Kang 405 407 411 see
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