메뉴 건너뛰기




Volumn , Issue 632, 2009, Pages 85-103

On function fields with free absolute galois groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 69249148945     PISSN: 00754102     EISSN: 00754102     Source Type: Journal    
DOI: 10.1515/CRELLE.2009.051     Document Type: Article
Times cited : (16)

References (29)
  • 1
    • 24144448166 scopus 로고
    • On the structure of Galois groups of the fields of rational function
    • F. Bogomolov, On the structure of Galois groups of the fields of rational function, Proc. Symp. Pure Math. 58.2 (1995), 83-88.
    • (1995) Proc. Symp. Pure Math. , vol.58 , Issue.2 , pp. 83-88
    • Bogomolov, F.1
  • 2
    • 0034344813 scopus 로고    scopus 로고
    • Rational connectedness and Galois covers of the projective line
    • J.-L. Colliot-Thélène, Rational connectedness and Galois covers of the projective line, Ann. Math. 151 (2000), 359-373.
    • (2000) Ann. Math. , vol.151 , pp. 359-373
    • Colliot-Thélène, J.-L.1
  • 3
    • 2542456085 scopus 로고    scopus 로고
    • Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes
    • Proceedings of the International Colloquium on Algebra, Arithmetic and Geometry Narosa Publ. Co.
    • J.-L. Colliot-Thélène, M. Ojanguren, R. Parimala, Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes, in: Proceedings of the International Colloquium on Algebra, Arithmetic and Geometry, Tata Inst. Fund. Res. Stud. Math. 16, Narosa Publ. Co. (2002), 185-217.
    • (2002) Tata Inst. Fund. Res. Stud. Math. , vol.16 , pp. 185-217
    • Colliot-Thélène, J.-L.1
  • 4
    • 0003057046 scopus 로고
    • Real components of algebraic varieties and étale cohomology
    • J.-L. Colliot-Thélène, R. Parimala, Real components of algebraic varieties and étale cohomology, Invent. Math. 101 (1990), 81-99.
    • (1990) Invent. Math. , vol.101 , pp. 81-99
    • Colliot-Thélène J., -L.1
  • 5
    • 24144444891 scopus 로고    scopus 로고
    • Field Arithmetic 2nd ed
    • Springer
    • M. Fried, M. Jarden, Field Arithmetic, 2nd ed., Ergebn. Math. 11, Springer, 2005.
    • (2005) Ergebn. Math. , vol.11
    • Fried, M.1    Jarden, M.2
  • 6
    • 0013487628 scopus 로고
    • The embedding problem over a Hilbertian PAC field
    • M. Fried, H. Völklein, The embedding problem over a Hilbertian PAC field, Ann. Math. 135 (1992), 469-481.
    • (1992) Ann. Math. , vol.135 , pp. 469-481
    • Fried, M.1    Völklein, H.2
  • 7
    • 0012006694 scopus 로고
    • Éĺements de Géométrie Algébrique IV: Etude locale des schemas et des morphismes des schemas
    • e partie: 32 (1967)
    • e partie: 32 (1967).
    • (1965) Publ. Math. IHES , pp. 24
    • Grothendieck, A.1
  • 8
    • 0002866605 scopus 로고
    • Le groupe de Brauer (I-III)
    • A. Gro-thendieck, ed., North-Holland
    • A. Grothendieck, Le groupe de Brauer (I-III), in: Dix exposés sur la cohomologie des schemas, A. Gro-thendieck, ed., North-Holland (1968), 46-188.
    • (1968) Dix Exposés sur la Cohomologie des Schemas , pp. 46-188
    • Grothendieck, A.1
  • 9
    • 5644229716 scopus 로고
    • Real free groups and the absolute Galois group of ℝ(t)
    • D. Haran, M. Jarden, Real free groups and the absolute Galois group of ℝ(t), J. Pure Appl. Alg. 37 (1985), 155-165.
    • (1985) J. Pure Appl. Alg. , vol.37 , pp. 155-165
    • Haran, D.1    Jarden, M.2
  • 10
    • 0032222307 scopus 로고    scopus 로고
    • Regular split embedding problems over complete valued fields
    • D. Haran, M. Jarden, Regular split embedding problems over complete valued fields, Forum Math. 10 (1998), 329-351. (Pubitemid 128337106)
    • (1998) Forum Mathematicum , vol.10 , Issue.3 , pp. 329-351
    • Haran, D.1    Jarden, M.2
  • 11
    • 0009752038 scopus 로고    scopus 로고
    • Regular split embedding problems over function fields of one variable over ample fields
    • D. Haran, M. Jarden, Regular split embedding problems over function fields of one variable over ample fields, J. Alg. 208 (1998), 147-164.
    • (1998) J. Alg. , vol.208 , pp. 147-164
    • Haran, D.1    Jarden, M.2
  • 12
    • 0040792383 scopus 로고    scopus 로고
    • The absolute Galois group of ℂ(x)
    • D. Haran, M. Jarden, The absolute Galois group of ℂ(x), Pac. J. Math. 196 (2000), 445-459.
    • (2000) Pac. J. Math. , vol.196 , pp. 445-459
    • Haran, D.1    Jarden, M.2
  • 13
    • 0011608587 scopus 로고
    • Fundamental groups and embedding problems in characteristic p
    • Recent Developments in the Inverse Galois Problem M. Fried, et al., eds
    • D. Harbater, Fundamental groups and embedding problems in characteristic p, in: Recent Developments in the Inverse Galois Problem, M. Fried, et al., eds., AMS Contemp. Math. Ser. 186 (1995), 353-369.
    • (1995) AMS Contemp. Math. Ser. , Issue.186 , pp. 353-369
    • Harbater, D.1
  • 15
    • 26444599980 scopus 로고    scopus 로고
    • Patching and Galois theory, Galois Groups and Fundamental Groups
    • L. Schneps, ed. Cambridge Univ. Press
    • D. Harbater, Patching and Galois theory, in: Galois Groups and Fundamental Groups, L. Schneps, ed., MSRI Publ. Ser. 41, Cambridge Univ. Press, (2003), 313-424.
    • (2003) MSRI Publ. Ser. , vol.41 , pp. 313-424
    • Harbater, D.1
  • 16
    • 28744445504 scopus 로고    scopus 로고
    • Local Galois theory in dimension two
    • (special issue in honor of M. Artin's 70th birthday)
    • D. Harbater, K. Stevenson, Local Galois theory in dimension two, Adv. Math. (special issue in honor of M. Artin's 70th birthday) 198 (2005), 623-653.
    • (2005) Adv. Math. , vol.198 , pp. 623-653
    • Harbater, D.1    Stevenson, K.2
  • 17
    • 0038994478 scopus 로고
    • On solvable extensions of algebraic number fields
    • K. Iwasawa, On solvable extensions of algebraic number fields, Ann. Math. 58 (1953), 548-572.
    • (1953) Ann. Math. , vol.58 , pp. 548-572
    • Iwasawa, K.1
  • 18
    • 0038914045 scopus 로고
    • On free profinite groups of uncountable rank
    • Recent developments in the inverse Galois problem, M. Fried, et al., eds
    • M. Jarden, On free profinite groups of uncountable rank, in: Recent developments in the inverse Galois problem, M. Fried, et al., eds., AMS Contemp. Math. Ser. 186 (1995), 371-383.
    • (1995) AMS Contemp. Math. Ser. , Issue.186 , pp. 371-383
    • Jarden, M.1
  • 19
    • 0041411698 scopus 로고    scopus 로고
    • On ample fields
    • M. Jarden, On ample fields, Arch. Math. 80 (2003), 475-477.
    • (2003) Arch. Math. , vol.80 , pp. 475-477
    • Jarden, M.1
  • 20
    • 0000806580 scopus 로고
    • A Hasse principle for two-dimensional global fields
    • K. Kato, A Hasse principle for two-dimensional global fields, J. reine angew. Math. 366 (1986), 142-181.
    • (1986) J. Reine Angew. Math. , vol.366 , pp. 142-181
    • Kato, K.1
  • 22
    • 0001516913 scopus 로고
    • K-cohomology of Severi-Brauer varieties and the norm residue homomor-phism (in Russian)
    • 1135-1136
    • A. S. Merkurjev, A. A. Suslin, K-cohomology of Severi-Brauer varieties and the norm residue homomor-phism (in Russian), Izv. Akad. Nauk SSSR Ser. Mat. 46 (1982), 1011-1046, 1135-1136
    • (1982) Izv. Akad. Nauk SSSR Ser. Mat. , vol.46 , pp. 1011-1046
    • Merkurjev, A.S.1    Suslin, A.A.2
  • 23
    • 0039466764 scopus 로고
    • English transl.
    • English transl.: Math. USSR-Izv 21 1983 307-340.
    • (1983) Math. USSR-Izv , vol.21 , pp. 307-340
  • 24
    • 0001305850 scopus 로고
    • Etale Galois covers of affine smooth curves
    • F. Pop, Etale Galois covers of affne smooth curves, Invent. Math. 120 (1995), 555-578.
    • (1995) Invent. Math. , vol.120 , pp. 555-578
    • Pop, F.1
  • 25
    • 0041111617 scopus 로고    scopus 로고
    • Embedding problems over large fields
    • F. Pop, Embedding problems over large fields, Ann. Math. 144 (1996), 1-34.
    • (1996) Ann. Math. , vol.144 , pp. 1-34
    • Pop, F.1
  • 27
    • 69249118542 scopus 로고
    • Cohomologie Galoisienne 4th ed
    • Springer
    • J.-P. Serre, Cohomologie Galoisienne, 4th ed., Lect. Notes Math. 5, Springer, 1973.
    • (1973) Lect. Notes Math. , vol.5
    • Serre, J.-P.1
  • 28
    • 0347322258 scopus 로고
    • Zerlegung reeller algebraischer Funktionen in Quadrate, Schiefkörper über reellem Funktionen-körper
    • E. Witt, Zerlegung reeller algebraischer Funktionen in Quadrate, Schiefkörper über reellem Funktionen-körper, J. reine angew. Math. 171 (1934), 4-11.
    • (1934) J. Reine Angew. Math. , vol.171 , pp. 4-11
    • Witt, E.1
  • 29
    • 0000043958 scopus 로고
    • Open subgroups of free profinite products
    • P. A. Zalesskii, Open subgroups of free profinite products, Contemp. Math. 131 (1992), 473-491.
    • (1992) Contemp. Math. , vol.131 , pp. 473-491
    • Zalesskii, P.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.