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Category:Algebraic geometry

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Algebraic geometry is the place where the algebra involved in solving systems of simultaneous multivariable polynomial equations meets the geometry of curves, surfaces, and higher dimensional
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The following 178 pages are in this category, out of approximately 421 total.
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This category has the following 11 subcategories, out of 23 total.
278: 1396: 60: 432:List of topologies on the category of schemes 340:Topological methods of algebraic geometry 1104:Standard conjectures on algebraic cycles 399:This list may not reflect recent changes 1397: 1354:Wu's method of characteristic set 394:Pages in category "Algebraic geometry" 36: 885:Quotient space of an algebraic stack 499:Max Noether's theorem on curves 427:Level structure (algebraic geometry) 162: 13: 952:Relative effective Cartier divisor 489:Main theorem of elimination theory 422:Last geometric statement of Jacobi 408: 174: 161: 14: 1421: 823:Pseudo algebraically closed field 696:Noncommutative algebraic geometry 539:Moduli stack of principal bundles 599:Multi-homogeneous Bézout theorem 1034:Severi variety (Hilbert scheme) 534:Moduli stack of elliptic curves 514:Mirror symmetry (string theory) 1159:System of polynomial equations 1084:Stability (algebraic geometry) 544:Moduli stack of vector bundles 1: 989:Scheme-theoretic intersection 932:Regular semi-algebraic system 442:Local invariant cycle theorem 1280:Universal algebraic geometry 1119:Steiner's conic problem 1029:Semistable reduction theorem 1024:Semiorthogonal decomposition 865:Quasi-homogeneous polynomial 850:Quadric (algebraic geometry) 691:Noetherian topological space 564:Morphism of algebraic stacks 554:Monsky–Washnitzer cohomology 494:Matsusaka's big theorem 392: 7: 1243:Torsor (algebraic geometry) 1039:Sheaf on an algebraic stack 957:Resolution of singularities 833:Purity (algebraic geometry) 808:Projective line over a ring 763:Period (algebraic geometry) 716:Normal crossing singularity 681:Noether normalization lemma 579:Motive (algebraic geometry) 10: 1426: 1405:Fields of abstract algebra 1218:Theorem of absolute purity 1176:Tangent space to a functor 519:Mirror symmetry conjecture 185:Localization (mathematics) 16:The main article for this 15: 1334:Weighted projective space 962:Riemann–Roch-type theorem 773:Piecewise algebraic space 753:Parshin's conjecture 743:P-adic Teichmüller theory 1329:Weibel's conjecture 1253:Triangular decomposition 1109:Standard monomial theory 937:Relative canonical model 870:Quasi-separated morphism 373:Algebraic geometry stubs 1134:Sum of residues formula 1089:Stable principal bundle 828:Pseudoholomorphic curve 768:Picard–Lefschetz theory 731:Numerical certification 614:Mutually unbiased bases 604:Multiplicative distance 569:Morphism of finite type 316:Structures on manifolds 258:Real algebraic geometry 225:Noncommutative geometry 1344:Witt vector cohomology 1201:Tate–Shafarevich group 1059:Siegel modular variety 907:Rational normal scroll 1376:Zariski–Riemann space 1371:Zariski tangent space 1223:Topological recursion 1139:Supersingular variety 798:Primary decomposition 636:Nakayama's lemma 594:Motivic zeta function 529:Mixed Hodge structure 509:Minimal model program 484:Macdonald polynomials 457:Localized Chern class 1275:Unibranch local ring 1212:Terminal singularity 1094:Stable vector bundle 666:Newton–Okounkov body 452:Local uniformization 1312:Virasoro conjecture 1307:Valuative criterion 1302:Valuation (algebra) 1285:Unramified morphism 1263:Trope (mathematics) 1114:Stein factorization 1099:Stack (mathematics) 584:Motivic integration 574:Morphism of schemes 43:Commutative algebra 31:algebraic varieties 1410:Fields of geometry 1238:Toroidal embedding 1014:Section conjecture 947:Relative dimension 922:Regular local ring 860:Quantum cohomology 818:Projective variety 726:Normally flat ring 676:Nisnevich topology 651:Néron–Severi group 589:Motivic L-function 549:Moishezon manifold 524:Mixed Hodge module 299:Singularity theory 37:Related categories 23:Algebraic geometry 1349:Witten conjecture 1206:Tautological ring 1196:Tate vector space 1154:Syntomic topology 1149:Symmetric variety 1079:Spherical variety 1064:Smooth completion 994:Schubert calculus 967:Rosati involution 803:Projective bundle 778:Plücker embedding 758:Pencil (geometry) 701:Nonlinear algebra 686:Noetherian scheme 656:Néron–Tate height 353:Tropical geometry 238:Nonlinear algebra 53:Geometric algebra 1417: 1339:Whitney umbrella 1258:Trivial cylinder 1214: 1129:Suita conjecture 999:Schubert variety 902:Rational mapping 813:Projective plane 631:Nakai conjecture 609:Multiplier ideal 559:Mori dream space 472:Logarithmic pair 467:Logarithmic form 378: 358: 345: 338: 321: 314: 304: 297: 287: 280: 263: 243: 230: 210: 190: 48:Computer algebra 1425: 1424: 1420: 1419: 1418: 1416: 1415: 1414: 1395: 1394: 1393: 1387: 1386: 1385: 1358: 1316: 1289: 1267: 1210: 1163: 1144:Suslin homology 1069:Smooth topology 1044:Shimura variety 1019:Semi-simplicity 981: 894: 842: 838:Pursuing Stacks 735: 661:Newton polytope 641:Nash blowing-up 618: 476: 447:Local parameter 391: 385: 384: 383: 380: 379: 363: 360: 359: 347: 346: 335: 326: 323: 322: 311: 306: 305: 294: 289: 288: 277: 268: 265: 264: 248: 245: 244: 232: 231: 215: 212: 211: 195: 192: 191: 160: 159: 158: 157: 63: 39: 27: 12: 11: 5: 1423: 1413: 1412: 1407: 1392:) (next page) 1384: 1383: 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668: 663: 658: 653: 648: 643: 638: 633: 628: 622: 619: 617: 616: 611: 606: 601: 596: 591: 586: 581: 576: 571: 566: 561: 556: 551: 546: 541: 536: 531: 526: 521: 516: 511: 506: 501: 496: 491: 486: 480: 477: 475: 474: 469: 464: 459: 454: 449: 444: 439: 437:LLT polynomial 434: 429: 424: 419: 413: 410: 409: 395: 390:) (next page) 382: 381: 371: 370: 367: 364: 362: 361: 351: 350: 348: 334: 333: 330: 327: 325: 324: 310: 309: 307: 293: 292: 290: 276: 275: 272: 269: 267: 266: 256: 255: 252: 249: 247: 246: 236: 235: 233: 223: 222: 219: 216: 214: 213: 203: 202: 199: 196: 194: 193: 183: 182: 179: 176: 175: 165: 156: 155: 75: 70: 64: 62: 59: 57: 56: 55: 50: 45: 38: 35: 9: 6: 4: 3: 2: 1422: 1411: 1408: 1406: 1403: 1402: 1400: 1391: 1390:previous page 1382: 1379: 1377: 1374: 1372: 1369: 1367: 1366:Zariski space 1364: 1363: 1360: 1355: 1352: 1350: 1347: 1345: 1342: 1340: 1337: 1335: 1332: 1330: 1327: 1325: 1324:Wall-crossing 1322: 1321: 1318: 1313: 1310: 1308: 1305: 1303: 1300: 1298: 1295: 1294: 1291: 1286: 1283: 1281: 1278: 1276: 1273: 1272: 1269: 1264: 1261: 1259: 1256: 1254: 1251: 1249: 1246: 1244: 1241: 1239: 1236: 1234: 1233:Toric variety 1231: 1229: 1226: 1224: 1221: 1219: 1216: 1213: 1209: 1207: 1204: 1202: 1199: 1197: 1194: 1192: 1189: 1187: 1186:Tate topology 1184: 1182: 1179: 1177: 1174: 1172: 1169: 1168: 1165: 1160: 1157: 1155: 1152: 1150: 1147: 1145: 1142: 1140: 1137: 1135: 1132: 1130: 1127: 1125: 1122: 1120: 1117: 1115: 1112: 1110: 1107: 1105: 1102: 1100: 1097: 1095: 1092: 1090: 1087: 1085: 1082: 1080: 1077: 1075: 1072: 1070: 1067: 1065: 1062: 1060: 1057: 1055: 1052: 1050: 1047: 1045: 1042: 1040: 1037: 1035: 1032: 1030: 1027: 1025: 1022: 1020: 1017: 1015: 1012: 1010: 1007: 1005: 1002: 1000: 997: 995: 992: 990: 987: 986: 983: 978: 977:Ruled variety 975: 973: 970: 968: 965: 963: 960: 958: 955: 953: 950: 948: 945: 943: 940: 938: 935: 933: 930: 928: 925: 923: 920: 918: 917:Regular chain 915: 913: 910: 908: 905: 903: 900: 899: 896: 891: 888: 886: 883: 881: 878: 876: 873: 871: 868: 866: 863: 861: 858: 856: 853: 851: 848: 847: 844: 839: 836: 834: 831: 829: 826: 824: 821: 819: 816: 814: 811: 809: 806: 804: 801: 799: 796: 794: 791: 789: 788:Positive form 786: 784: 781: 779: 776: 774: 771: 769: 766: 764: 761: 759: 756: 754: 751: 749: 746: 744: 741: 740: 737: 732: 729: 727: 724: 722: 721:Normal scheme 719: 717: 714: 712: 709: 707: 706:Normal bundle 704: 702: 699: 697: 694: 692: 689: 687: 684: 682: 679: 677: 674: 672: 669: 667: 664: 662: 659: 657: 654: 652: 649: 647: 644: 642: 639: 637: 634: 632: 629: 627: 624: 623: 620: 615: 612: 610: 607: 605: 602: 600: 597: 595: 592: 590: 587: 585: 582: 580: 577: 575: 572: 570: 567: 565: 562: 560: 557: 555: 552: 550: 547: 545: 542: 540: 537: 535: 532: 530: 527: 525: 522: 520: 517: 515: 512: 510: 507: 505: 504:Milnor number 502: 500: 497: 495: 492: 490: 487: 485: 482: 481: 478: 473: 470: 468: 465: 463: 462:Log structure 460: 458: 455: 453: 450: 448: 445: 443: 440: 438: 435: 433: 430: 428: 425: 423: 420: 418: 415: 414: 411: 407:) (next page) 406: 405:previous page 402: 400: 393: 389: 388:previous page 374: 369: 368: 365: 354: 349: 341: 337: 332: 331: 328: 317: 313: 308: 300: 296: 291: 283: 282:Scheme theory 279: 274: 273: 270: 259: 254: 253: 250: 239: 234: 226: 221: 220: 217: 206: 205:Moduli theory 201: 200: 197: 186: 181: 180: 177: 173:) (next page) 172: 171:previous page 168: 164:Subcategories 163: 154: 151: 148: 145: 142: 139: 136: 133: 130: 127: 124: 121: 118: 115: 112: 109: 106: 103: 100: 97: 94: 91: 88: 85: 82: 79: 76: 74: 71: 69: 66: 65: 54: 51: 49: 46: 44: 41: 40: 34: 32: 25: 24: 19: 1248:Torus action 1181:Tango bundle 1171:Tangent cone 912:Rees algebra 855:Quadrisecant 417:ℓ-adic sheaf 396: 166: 28: 21: 1381:Zhu algebra 1228:Toric stack 880:Quot scheme 748:P-curvature 711:Normal cone 646:Néron model 626:Nagata ring 344:(1 C, 32 P) 320:(2 C, 54 P) 303:(3 C, 53 P) 286:(1 C, 40 P) 1399:Categories 1297:V-topology 1191:Tate twist 1124:Steinerian 1049:Shriek map 972:Ruled join 61:Contents 1054:SIC-POVM 875:Quippian 793:Prestack 671:Nilcurve 18:category 377:(182 P) 262:(43 P) 229:(18 P) 209:(26 P) 357:(6 P) 242:(3 P) 189:(9 P) 73:0–9 68:Top 20:is 1401:: 401:. 375:‎ 355:‎ 342:‎ 318:‎ 301:‎ 284:‎ 260:‎ 240:‎ 227:‎ 207:‎ 187:‎ 33:. 1388:( 1361:Z 1319:W 1292:V 1270:U 1166:T 984:S 897:R 845:Q 738:P 621:N 479:M 412:L 403:( 386:( 366:Σ 329:T 271:S 251:R 218:N 198:M 178:L 169:( 153:Z 150:Y 147:X 144:W 141:V 138:U 135:T 132:S 129:R 126:Q 123:P 120:O 117:N 114:M 111:L 108:K 105:J 102:I 99:H 96:G 93:F 90:E 87:D 84:C 81:B 78:A 26:.

Index

category
Algebraic geometry
algebraic varieties
Commutative algebra
Computer algebra
Geometric algebra
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