Class information for:
Level 1: THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22206 390 16.1 30%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
376 2             JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 17147
22206 1                   THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS 390

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 THEORIE NOMB ALGORITHM ARITHMET address 178957 1% 57% 4
2 14G17 authKW 156590 1% 100% 2
3 ARTIN SCHREIER COVERS authKW 156590 1% 100% 2
4 AUTOMORPHISMS OF CURVES authKW 156590 1% 100% 2
5 MUMFORD CURVE authKW 156590 1% 100% 2
6 ARTIN SCHREIER WITT THEORY authKW 104392 1% 67% 2
7 OORT CONJECTURE authKW 104392 1% 67% 2
8 TAME COVERINGS authKW 104392 1% 67% 2
9 STABLE REDUCTION authKW 88078 1% 38% 3
10 14G32 authKW 78295 0% 100% 1

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 20665 98% 0% 381
2 Mathematics, Applied 439 14% 0% 56
3 Psychology, Mathematical 3 0% 0% 1
4 Multidisciplinary Sciences 1 1% 0% 2
5 Physics, Mathematical -0 1% 0% 2
6 Mathematics, Interdisciplinary Applications -0 0% 0% 1
7 Statistics & Probability -1 0% 0% 1
8 Computer Science, Theory & Methods -1 0% 0% 1
9 Mechanics -1 1% 0% 2
10 Physics, Particles & Fields -2 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 THEORIE NOMB ALGORITHM ARITHMET 178957 1% 57% 4
2 ERS 0127 CNRS 78295 0% 100% 1
3 FAK WISSEN AFTEN 78295 0% 100% 1
4 FUER ALGEBRA ZAHLENTHEORIE DISKRETE MATH 78295 0% 100% 1
5 FUER REINE MATH 78295 0% 100% 1
6 UP A CNRS 5467 78295 0% 100% 1
7 UPRS A 5467 78295 0% 100% 1
8 UPRS A 5467 CNRS 78295 0% 100% 1
9 MATH PU BORDEAUX 54200 1% 23% 3
10 ENGN PHYS MATH SCI 39146 0% 50% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MANUSCRIPTA MATHEMATICA 10635 5% 1% 21
2 JOURNAL OF ALGEBRA 7344 9% 0% 35
3 MATHEMATISCHE ANNALEN 6003 5% 0% 19
4 MATHEMATISCHE ZEITSCHRIFT 5012 5% 0% 18
5 COMPOSITIO MATHEMATICA 4593 3% 0% 12
6 HIROSHIMA MATHEMATICAL JOURNAL 3887 1% 2% 3
7 ALGEBRA & NUMBER THEORY 3874 1% 1% 5
8 FINITE FIELDS AND THEIR APPLICATIONS 3747 2% 1% 7
9 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 3655 3% 0% 13
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3637 7% 0% 28

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 14G17 156590 1% 100% 2 Search 14G17 Search 14G17
2 ARTIN SCHREIER COVERS 156590 1% 100% 2 Search ARTIN+SCHREIER+COVERS Search ARTIN+SCHREIER+COVERS
3 AUTOMORPHISMS OF CURVES 156590 1% 100% 2 Search AUTOMORPHISMS+OF+CURVES Search AUTOMORPHISMS+OF+CURVES
4 MUMFORD CURVE 156590 1% 100% 2 Search MUMFORD+CURVE Search MUMFORD+CURVE
5 ARTIN SCHREIER WITT THEORY 104392 1% 67% 2 Search ARTIN+SCHREIER+WITT+THEORY Search ARTIN+SCHREIER+WITT+THEORY
6 OORT CONJECTURE 104392 1% 67% 2 Search OORT+CONJECTURE Search OORT+CONJECTURE
7 TAME COVERINGS 104392 1% 67% 2 Search TAME+COVERINGS Search TAME+COVERINGS
8 STABLE REDUCTION 88078 1% 38% 3 Search STABLE+REDUCTION Search STABLE+REDUCTION
9 14G32 78295 0% 100% 1 Search 14G32 Search 14G32
10 14H30 78295 0% 100% 1 Search 14H30 Search 14H30

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 CHINBURG, T , GURALNICK, R , HARBATER, D , (2011) THE LOCAL LIFTING PROBLEM FOR ACTIONS OF FINITE GROUPS ON CURVES.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 44. ISSUE 4. P. 537-605 15 100% 2
2 OBUS, A , WEWERS, S , (2014) CYCLIC EXTENTIOS AND THE LOCAL LIFTING PROBLEM.ANNALS OF MATHEMATICS. VOL. 180. ISSUE 1. P. 233-284 15 83% 4
3 KOCK, B , KONTOGEORGIS, A , (2012) QUADRATIC DIFFERENTIALS AND EQUIVARIANT DEFORMATION THEORY OF CURVES.ANNALES DE L INSTITUT FOURIER. VOL. 62. ISSUE 3. P. 1015 -1043 13 100% 0
4 ABHYANKAR, SS , (2001) RESOLUTION OF SINGULARITIES AND MODULAR GALOIS THEORY.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 38. ISSUE 2. P. 131 -169 27 63% 15
5 POP, F , (2014) THE OORT CONJECTURE ON LIFTING COVERS OF CURVES.ANNALS OF MATHEMATICS. VOL. 180. ISSUE 1. P. 285-322 12 92% 4
6 OBUS, A , (2016) THE LOCAL LIFTING PROBLEM FOR A(4).ALGEBRA & NUMBER THEORY. VOL. 10. ISSUE 8. P. 1683 -1693 10 100% 1
7 WARD, KA , (2017) EXPLICIT GALOIS REPRESENTATIONS OF AUTOMORPHISMS ON HOLOMORPHIC DIFFERENTIALS IN CHARACTERISTIC P.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 44. ISSUE . P. 34 -55 12 86% 0
8 KARANIKOLOPOULOS, S , (2012) ON HOLOMORPHIC POLYDIFFERENTIALS IN POSITIVE CHARACTERISTIC.MATHEMATISCHE NACHRICHTEN. VOL. 285. ISSUE 7. P. 852-877 12 86% 1
9 KOCK, B , TAIT, J , (2015) FAITHFULNESS OF ACTIONS ON RIEMANN-ROCH SPACES.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 67. ISSUE 4. P. 848 -869 13 72% 0
10 KARANIKOLOPOULOS, S , KONTOGEORGIS, A , (2014) INTEGRAL REPRESENTATIONS OF CYCLIC GROUPS ACTING ON RELATIVE HOLOMORPHIC DIFFERENTIALS OF DEFORMATIONS OF CURVES WITH AUTOMORPHISMS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 142. ISSUE 7. P. 2369 -2383 10 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 19760 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
2 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
3 9482 ALGEBRAIC GEOMETRY CODES//ALGEBRAIC GEOMETRIC CODES//GALOIS POINT
4 33461 GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS
5 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
6 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
7 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
8 12789 MATEMAT FUNDAMENTALES//KLEIN SURFACES//RIEMANN SURFACE
9 33381 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION
10 14464 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP

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