Class information for:
Level 1: ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5075 1678 19.7 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
5075 1                   ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION 1678

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 ESSENTIAL DIMENSION authKW 510086 2% 97% 29
2 CENTRAL SIMPLE ALGEBRAS authKW 507958 3% 57% 49
3 BRAUER MANIN OBSTRUCTION authKW 303498 2% 60% 28
4 GALOIS COHOMOLOGY authKW 286342 3% 36% 44
5 BRAUER GROUP authKW 276695 3% 30% 51
6 PFISTER FORM authKW 267967 1% 82% 18
7 LINEAR ALGEBRAIC GROUP authKW 210332 1% 68% 17
8 PROJECTIVE HOMOGENEOUS VARIETIES authKW 201551 1% 92% 12
9 ZERO CYCLES authKW 186313 1% 64% 16
10 COHOMOLOGICAL INVARIANTS authKW 180881 1% 76% 13

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 89325 98% 0% 1643
2 Mathematics, Applied 717 9% 0% 158
3 Multidisciplinary Sciences 88 1% 0% 25
4 Physics, Mathematical -5 0% 0% 5
5 Automation & Control Systems -5 0% 0% 1
6 Operations Research & Management Science -7 0% 0% 1
7 Computer Science, Theory & Methods -9 0% 0% 2
8 Crystallography -10 0% 0% 1
9 Mechanics -17 0% 0% 1
10 Chemistry, Multidisciplinary -58 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 MATH LENS EA2462 54587 0% 100% 3
2 CSAGSTN 8 36392 0% 100% 2
3 EA2462 36392 0% 100% 2
4 FSB MA 36392 0% 100% 2
5 HBREICH MATH STAT 36392 0% 100% 2
6 ZUKUNFTSKOLLEG FB MATH STAT 36392 0% 100% 2
7 LEHRSTUHL MATH ALGEBRA 36388 0% 50% 4
8 RAYMOND BEVERLY SACKLER MATH SCI 33402 1% 14% 13
9 MATH LENS 31344 1% 19% 9
10 MATH LENS EA 2462 27851 0% 22% 7

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 JOURNAL OF ALGEBRA 70762 13% 2% 225
2 COMMUNICATIONS IN ALGEBRA 21056 6% 1% 106
3 ALGEBRA & NUMBER THEORY 20749 1% 5% 24
4 TRANSFORMATION GROUPS 18737 1% 4% 24
5 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 18103 4% 2% 60
6 K-THEORY 17333 1% 5% 20
7 MATHEMATISCHE ZEITSCHRIFT 12067 3% 1% 58
8 MANUSCRIPTA MATHEMATICA 11815 3% 1% 46
9 COMMENTARII MATHEMATICI HELVETICI 11187 2% 2% 28
10 JOURNAL OF PURE AND APPLIED ALGEBRA 7733 3% 1% 50

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 ESSENTIAL DIMENSION 510086 2% 97% 29 Search ESSENTIAL+DIMENSION Search ESSENTIAL+DIMENSION
2 CENTRAL SIMPLE ALGEBRAS 507958 3% 57% 49 Search CENTRAL+SIMPLE+ALGEBRAS Search CENTRAL+SIMPLE+ALGEBRAS
3 BRAUER MANIN OBSTRUCTION 303498 2% 60% 28 Search BRAUER+MANIN+OBSTRUCTION Search BRAUER+MANIN+OBSTRUCTION
4 GALOIS COHOMOLOGY 286342 3% 36% 44 Search GALOIS+COHOMOLOGY Search GALOIS+COHOMOLOGY
5 BRAUER GROUP 276695 3% 30% 51 Search BRAUER+GROUP Search BRAUER+GROUP
6 PFISTER FORM 267967 1% 82% 18 Search PFISTER+FORM Search PFISTER+FORM
7 LINEAR ALGEBRAIC GROUP 210332 1% 68% 17 Search LINEAR+ALGEBRAIC+GROUP Search LINEAR+ALGEBRAIC+GROUP
8 PROJECTIVE HOMOGENEOUS VARIETIES 201551 1% 92% 12 Search PROJECTIVE+HOMOGENEOUS+VARIETIES Search PROJECTIVE+HOMOGENEOUS+VARIETIES
9 ZERO CYCLES 186313 1% 64% 16 Search ZERO+CYCLES Search ZERO+CYCLES
10 COHOMOLOGICAL INVARIANTS 180881 1% 76% 13 Search COHOMOLOGICAL+INVARIANTS Search COHOMOLOGICAL+INVARIANTS

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 AUEL, A , BRUSSEL, E , GARIBALDI, S , VISHNE, U , (2011) OPEN PROBLEMS ON CENTRAL SIMPLE ALGEBRAS.TRANSFORMATION GROUPS. VOL. 16. ISSUE 1. P. 219 -264 84 72% 8
2 MERKURJEV, AS , (2013) ESSENTIAL DIMENSION: A SURVEY.TRANSFORMATION GROUPS. VOL. 18. ISSUE 2. P. 415-481 54 98% 13
3 HARPAZ, Y , WITTENBERG, O , (2016) ON THE FIBRATION METHOD FOR ZERO-CYCLES AND RATIONAL POINTS.ANNALS OF MATHEMATICS. VOL. 183. ISSUE 1. P. 229 -295 47 89% 3
4 GARIBALDI, S , PETROV, V , SEMENOV, N , (2016) SHELLS OF TWISTED FLAG VARIETIES AND THE ROST INVARIANT.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 2. P. 285 -339 45 85% 2
5 LIANG, YQ , (2016) PROGRESS CONCERNING THE LOCAL-GLOBAL PRINCIPLE FOR ZERO-CYCLES ON ALGEBRAIC VARIETIES.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 46. ISSUE 4. P. 1293 -1308 34 100% 0
6 HARARI, D , (2016) ZERO-CYCLES AND RATIONAL POINTS ON FIBRATIONS IN RATIONALLY RELATED VARIETIES.ASTERISQUE. VOL. . ISSUE 380. P. 231 -262 27 96% 0
7 MERKURJEV, AS , (2016) ESSENTIAL DIMENSION.ASTERISQUE. VOL. . ISSUE 380. P. 423 -448 25 96% 0
8 GILLE, P , (2009) THE KNESER-TITS PROBLEM.ASTERISQUE. VOL. . ISSUE 326. P. 39 -81 28 90% 10
9 LIANG, YQ , (2016) LOCAL-GLOBAL PRINCIPLE FOR 0-CYCLES ON FIBRATIONS OVER RATIONALLY CONNECTED BASES.ADVANCES IN MATHEMATICS. VOL. 297. ISSUE . P. 214 -237 23 96% 0
10 LIANG, YQ , (2013) ARITHMETIC OF 0-CYCLES ON VARIETIES DEFINED OVER NUMBER FIELDS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 46. ISSUE 1. P. 35-56 24 96% 2

Classes with closest relation at Level 1


Rank Class id link
1 7348 MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY
2 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
3 31499 SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE
4 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
5 16040 WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES
6 25245 DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS
7 33461 GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS
8 12985 MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES
9 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
10 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS

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