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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 200 pages are in this category, out of approximately 421 total.
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This category has the following 23 subcategories, out of 23 total.
1146:
Decomposition theorem of Beilinson, Bernstein and Deligne
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1156:Degeneration (algebraic geometry) 1004:Combinatorial commutative algebra 654:List of algebraic geometry topics 1686:Harder–Narasimhan stratification 1236:Discrepancy (algebraic geometry) 835:Beilinson–Bernstein localization 1497:Functor represented by a scheme 1584:Glossary of algebraic geometry 1529:Generalized Riemann hypothesis 1221:Differential of the first kind 1079:Convexity (algebraic geometry) 1014:Comodule over a Hopf algebroid 929:Castelnuovo–Mumford regularity 882:Bridgeland stability condition 867:Bloch's higher Chow group 713:Affine Grassmannian (manifold) 179:Theorems in algebraic geometry 1: 1009:Combinatorial mirror symmetry 949:Chevalley restriction theorem 698:Adequate equivalence relation 1549:Geometric class field theory 1310:Esquisse d'un Programme 1064:Constructible set (topology) 815:Baily–Borel compactification 733:Numerical algebraic geometry 1432:Formal holomorphic function 887:Buchberger's algorithm 261:Algebraic geometry journals 1746: 1725:Fields of abstract algebra 1564:Geometrically regular ring 1166:Derived algebraic geometry 413:Localization (mathematics) 16:The main article for this 15: 1457:Fourier–Deligne transform 1151:Deformation (mathematics) 1044:Cone (algebraic geometry) 989:Coherent sheaf cohomology 892:Bundle of principal parts 738:Algebraic Geometry (book) 1696:Hasse–Weil zeta function 1594:Gopakumar–Vafa invariant 1024:Complex analytic variety 872:Bott–Samelson resolution 601:Algebraic geometry stubs 1639:Grothendieck connection 1634:Gromov–Witten invariant 1357:Faithfully flat descent 1305:Erdős–Diophantine graph 1251:Donaldson–Thomas theory 825:Bass–Quillen conjecture 688:Absolute irreducibility 544:Structures on manifolds 486:Real algebraic geometry 453:Noncommutative geometry 1514:Gauss–Manin connection 1387:Field with one element 1294:Equidimensional scheme 1186:Derived tensor product 1124:Crystalline cohomology 798:Artin's criterion 1569:Gibbons–Hawking space 1362:Fake projective space 1226:Dimension of a scheme 1206:Determinantal variety 1196:Descent along torsors 1191:Descent (mathematics) 1161:Deligne–Mumford stack 1119:Crystal (mathematics) 1104:Cramer's paradox 1039:Condensed mathematics 1019:Complete intersection 999:Cohomology of a stack 994:Cohomological descent 964:Chow group of a stack 914:Canonical singularity 1288:Enumerative geometry 1201:Dessin d'enfant 1074:Contraction morphism 934:Categorical quotient 862:Bloch's formula 773:Amoeba (mathematics) 693:Abundance conjecture 1659:Group-scheme action 1599:Gordan's lemma 1477:Frobenius splitting 1447:Formally smooth map 1382:Field of definition 1340:Exceptional divisor 1315:Étale homotopy type 1261:Du Bois singularity 1069:Constructible sheaf 979:Cohen–Macaulay ring 924:Cartier isomorphism 904:Calabi–Yau manifold 830:Beilinson regulator 803:Associative algebra 768:Alternating algebra 723:Algebraic cobordism 708:Affine Grassmannian 376:Intersection theory 339:Cohomology theories 319:Birational geometry 278:Algebraic varieties 220:Arithmetic geometry 203:Algebraic geometers 43:Commutative algebra 31:algebraic varieties 1730:Fields of geometry 1701:Hessenberg variety 1691:Hartshorne ellipse 1559:Geometric quotient 1482:Fröberg conjecture 1472:Frobenius manifold 1462:Frankel conjecture 1422:Flip (mathematics) 1283:Elimination theory 1114:Crepant resolution 748:Algebraic K-theory 703:Adjunction formula 683:A¹ homotopy theory 639:Algebraic geometry 527:Singularity theory 37:Related categories 23:Algebraic geometry 1708:(previous page) ( 1604:Gorenstein scheme 1492:Fujita conjecture 1246:Divisorial scheme 1089:Cotangent complex 1029:Complex dimension 778:Ample line bundle 763:Algebraic variety 626:(previous page) ( 581:Tropical geometry 466:Nonlinear algebra 295:Analytic geometry 53:Geometric algebra 1737: 1609:Grassmann bundle 1544:Generic property 1534:Generic flatness 1524:General position 1519:General elephant 1367:Family of curves 1296: 1231:Direction cosine 1034:Complex geometry 857:Bivariant theory 853: 606: 586: 573: 566: 549: 542: 532: 525: 515: 508: 491: 471: 458: 438: 418: 398: 393:Invariant theory 391: 381: 361: 356:Complex geometry 354: 344: 324: 317: 300: 293: 283: 276: 266: 259: 249: 244:Algebraic curves 242: 225: 218: 208: 201: 184: 48:Computer algebra 1745: 1744: 1740: 1739: 1738: 1736: 1735: 1734: 1715: 1714: 1713: 1707: 1706: 1705: 1673: 1669:Groupoid object 1619:Griffiths group 1509:Galois geometry 1501: 1397:Finite morphism 1344: 1300:Equisingularity 1292: 1275: 1266:Dualizing sheaf 1256:Drinfeld module 1138: 1094:Cotangent sheaf 954:Chordal variety 919:Cartan subgroup 896: 849: 840:Berkovich space 820:Bass conjecture 807: 788:Arakelov theory 758:Algebraic stack 753:Algebraic space 728:Algebraic cycle 675: 658: 614: 613: 612: 611: 608: 607: 591: 588: 587: 575: 574: 563: 554: 551: 550: 539: 534: 533: 522: 517: 516: 505: 496: 493: 492: 476: 473: 472: 460: 459: 443: 440: 439: 423: 420: 419: 403: 400: 399: 388: 383: 382: 366: 363: 362: 351: 346: 345: 329: 326: 325: 314: 305: 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1183: 1178: 1176:Derived scheme 1173: 1168: 1163: 1158: 1153: 1148: 1142: 1139: 1137: 1136: 1131: 1126: 1121: 1116: 1111: 1106: 1101: 1096: 1091: 1086: 1081: 1076: 1071: 1066: 1061: 1056: 1051: 1049:Cone of curves 1046: 1041: 1036: 1031: 1026: 1021: 1016: 1011: 1006: 1001: 996: 991: 986: 984:Coherent sheaf 981: 976: 971: 966: 961: 956: 951: 946: 941: 936: 931: 926: 921: 916: 911: 909:Canonical ring 906: 900: 897: 895: 894: 889: 884: 879: 874: 869: 864: 859: 854: 847: 845:Biholomorphism 842: 837: 832: 827: 822: 817: 811: 808: 806: 805: 800: 795: 790: 785: 783:Analytic space 780: 775: 770: 765: 760: 755: 750: 745: 740: 735: 730: 725: 720: 718:Affine variety 715: 710: 705: 700: 695: 690: 685: 679: 676: 674: 673: 668: 662: 659: 657: 656: 651: 646: 641: 635: 633: 632: 618: 615: 610: 609: 599: 598: 595: 592: 590: 589: 579: 578: 576: 562: 561: 558: 555: 553: 552: 538: 537: 535: 521: 520: 518: 504: 503: 500: 497: 495: 494: 484: 483: 480: 477: 475: 474: 464: 463: 461: 451: 450: 447: 444: 442: 441: 431: 430: 427: 424: 422: 421: 411: 410: 407: 404: 402: 401: 387: 386: 384: 374: 373: 370: 367: 365: 364: 350: 349: 347: 337: 336: 333: 330: 328: 327: 313: 312: 309: 306: 304: 303: 289: 288: 286: 272: 271: 269: 255: 254: 252: 238: 237: 234: 231: 229: 228: 214: 213: 211: 197: 196: 193: 190: 188: 187: 177: 176: 173: 171: 170: 165: 162: 156: 155: 75: 70: 64: 62: 59: 57: 56: 55: 50: 45: 38: 35: 13: 10: 9: 6: 4: 3: 2: 1742: 1731: 1728: 1726: 1723: 1722: 1720: 1711: 1702: 1699: 1697: 1694: 1692: 1689: 1687: 1684: 1682: 1679: 1678: 1675: 1670: 1667: 1665: 1662: 1660: 1657: 1655: 1654:Group functor 1652: 1650: 1647: 1645: 1642: 1640: 1637: 1635: 1632: 1630: 1627: 1625: 1624:Gröbner basis 1622: 1620: 1617: 1615: 1612: 1610: 1607: 1605: 1602: 1600: 1597: 1595: 1592: 1590: 1587: 1585: 1582: 1580: 1577: 1575: 1572: 1570: 1567: 1565: 1562: 1560: 1557: 1555: 1552: 1550: 1547: 1545: 1542: 1540: 1539:Generic point 1537: 1535: 1532: 1530: 1527: 1525: 1522: 1520: 1517: 1515: 1512: 1510: 1507: 1506: 1503: 1498: 1495: 1493: 1490: 1488: 1485: 1483: 1480: 1478: 1475: 1473: 1470: 1468: 1465: 1463: 1460: 1458: 1455: 1453: 1450: 1448: 1445: 1443: 1442:Formal scheme 1440: 1438: 1437:Formal moduli 1435: 1433: 1430: 1428: 1425: 1423: 1420: 1418: 1417:Flat topology 1415: 1413: 1410: 1408: 1407:Flat function 1405: 1403: 1400: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1349: 1346: 1341: 1338: 1336: 1333: 1331: 1328: 1326: 1323: 1321: 1318: 1316: 1313: 1311: 1308: 1306: 1303: 1301: 1298: 1295: 1291: 1289: 1286: 1284: 1281: 1280: 1277: 1272: 1269: 1267: 1264: 1262: 1259: 1257: 1254: 1252: 1249: 1247: 1244: 1242: 1239: 1237: 1234: 1232: 1229: 1227: 1224: 1222: 1219: 1217: 1214: 1212: 1209: 1207: 1204: 1202: 1199: 1197: 1194: 1192: 1189: 1187: 1184: 1182: 1181:Derived stack 1179: 1177: 1174: 1172: 1169: 1167: 1164: 1162: 1159: 1157: 1154: 1152: 1149: 1147: 1144: 1143: 1140: 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: 985: 982: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 955: 952: 950: 947: 945: 942: 940: 939:Catenary ring 937: 935: 932: 930: 927: 925: 922: 920: 917: 915: 912: 910: 907: 905: 902: 901: 898: 893: 890: 888: 885: 883: 880: 878: 875: 873: 870: 868: 865: 863: 860: 858: 855: 852: 848: 846: 843: 841: 838: 836: 833: 831: 828: 826: 823: 821: 818: 816: 813: 812: 809: 804: 801: 799: 796: 794: 791: 789: 786: 784: 781: 779: 776: 774: 771: 769: 766: 764: 761: 759: 756: 754: 751: 749: 746: 744: 741: 739: 736: 734: 731: 729: 726: 724: 721: 719: 716: 714: 711: 709: 706: 704: 701: 699: 696: 694: 691: 689: 686: 684: 681: 680: 677: 672: 671:Residue field 669: 667: 664: 663: 660: 655: 652: 650: 647: 645: 642: 640: 637: 636: 634: 629: 625: 623: 616: 602: 597: 596: 593: 582: 577: 569: 565: 560: 559: 556: 545: 541: 536: 528: 524: 519: 511: 510:Scheme theory 507: 502: 501: 498: 487: 482: 481: 478: 467: 462: 454: 449: 448: 445: 434: 433:Moduli theory 429: 428: 425: 414: 409: 408: 405: 394: 390: 385: 377: 372: 371: 368: 357: 353: 348: 340: 335: 334: 331: 320: 316: 311: 310: 307: 296: 292: 287: 279: 275: 270: 262: 258: 253: 245: 241: 236: 235: 232: 221: 217: 212: 204: 200: 195: 194: 191: 180: 175: 174: 172: 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: 60: 54: 51: 49: 46: 44: 41: 40: 36: 34: 32: 25: 24: 19: 1614:Grassmannian 1574:GIT quotient 1377:Fano variety 1271:Dwork family 1134:Cyclic cover 1054:Conic bundle 969:Chow variety 877:Bracket ring 666:Ground field 619: 207:(2 C, 238 P) 166: 28: 21: 1664:Group-stack 1629:Gröbner fan 1579:GKM variety 1412:Flat module 1402:Flag bundle 974:Codimension 572:(1 C, 32 P) 548:(2 C, 54 P) 531:(3 C, 53 P) 514:(1 C, 40 P) 397:(1 C, 60 P) 323:(1 C, 26 P) 299:(3 C, 61 P) 282:(7 C, 56 P) 248:(7 C, 95 P) 224:(3 C, 11 P) 1719:Categories 1681:H topology 1467:Frobenioid 1129:Cubic form 959:Chow group 360:(2 C, 3 P) 265:(1 C, 3 P) 1710:next page 1352:F-crystal 1211:Dévissage 851:Biregular 628:next page 61:Contents 1099:Cox ring 1059:Conifold 944:Cayleyan 18:category 605:(182 P) 490:(43 P) 457:(18 P) 437:(26 P) 380:(13 P) 343:(50 P) 183:(98 P) 585:(6 P) 470:(3 P) 417:(9 P) 73:0–9 68:Top 20:is 1721:: 1712:) 624:. 603:‎ 583:‎ 570:‎ 546:‎ 529:‎ 512:‎ 488:‎ 468:‎ 455:‎ 435:‎ 415:‎ 395:‎ 378:‎ 358:‎ 341:‎ 321:‎ 297:‎ 280:‎ 263:‎ 246:‎ 222:‎ 205:‎ 181:‎ 33:. 1676:H 1504:G 1347:F 1278:E 1141:D 899:C 810:B 678:A 661:* 630:) 594:Σ 557:T 499:S 479:R 446:N 426:M 406:L 369:I 332:C 308:B 233:A 192:* 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

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Algebraic geometry
algebraic varieties
Commutative algebra
Computer algebra
Geometric algebra
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