Class information for:
Level 2: MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1540 7449 16.4 32%


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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
1540 2             MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES 7449
5360 1                   LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION 1634
7469 1                   LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI 1364
8212 1                   JACOBIAN CONJECTURE//POLYNOMIAL AUTOMORPHISMS//LOCALLY NILPOTENT DERIVATION 1280
9563 1                   O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL 1143
16040 1                   WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES 676
19778 1                   REAL ALGEBRAIC VARIETY//TRIQUADRIC//FEWNOMIALS 490
19959 1                   RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT 482
22485 1                   UNIMODULAR ROWS//EULER CLASS GROUPS//CONSTRUCTIVE ALGEBRA 380

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 MATHEMATICS WoSSC 373450 95% 1% 7082
2 JACOBIAN CONJECTURE authKW 228912 1% 76% 74
3 O MINIMAL STRUCTURES authKW 203684 1% 73% 68
4 O MINIMALITY authKW 196722 1% 87% 55
5 POLYNOMIAL AUTOMORPHISMS authKW 110610 0% 75% 36
6 RESOLUTION OF SINGULARITIES authKW 108568 1% 51% 52
7 MOTIVIC INTEGRATION authKW 104413 0% 88% 29
8 LOCALLY NILPOTENT DERIVATION authKW 98312 0% 67% 36
9 O MINIMAL authKW 90768 0% 92% 24
10 LOJASIEWICZ EXPONENT authKW 84281 0% 86% 24

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 373450 95% 1% 7082
2 Logic 49887 6% 3% 426
3 Mathematics, Applied 19378 21% 0% 1569
4 Computer Science, Theory & Methods 97 2% 0% 127
5 Multidisciplinary Sciences 11 0% 0% 36
6 Philosophy 4 0% 0% 27
7 Physics, Mathematical 2 1% 0% 66
8 Computer Science, Cybernetics -0 0% 0% 5
9 Robotics -2 0% 0% 3
10 History of Social Sciences -3 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 45447 30% 1% 2204
2 PAINLEVE 42474 0% 45% 23
3 GRP MATH SCI 32779 0% 100% 8
4 WISKUNDE 27621 1% 15% 46
5 GEOMETRIA TOPOL 26163 1% 8% 79
6 MATEMAT 24415 6% 1% 423
7 EQUIPE GEOMETRIE DYNAM 23819 0% 36% 16
8 F CIENCIAS MATEMAT 20487 0% 100% 5
9 CIENCIAS MATEMAT COMP 17791 1% 10% 43
10 ALGEBRA GEOMETRY TOPOL 16842 0% 34% 12

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 PURE AND APPLIED ALGEBRA 77134 4% 6% 332
2 JOURNAL OF ALGEBRA 48901 5% 3% 396
3 JOURNAL OF SYMBOLIC LOGIC 47088 2% 6% 183
4 ANNALES DE L INSTITUT FOURIER 34207 2% 6% 135
5 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 33630 1% 13% 63
6 MANUSCRIPTA MATHEMATICA 28221 2% 5% 150
7 COMMUNICATIONS IN ALGEBRA 27434 3% 3% 256
8 MATHEMATISCHE ZEITSCHRIFT 24635 2% 3% 175
9 MATHEMATISCHE ANNALEN 24101 2% 4% 167
10 COMPOSITIO MATHEMATICA 22746 2% 5% 117

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 JACOBIAN CONJECTURE 228912 1% 76% 74 Search JACOBIAN+CONJECTURE Search JACOBIAN+CONJECTURE
2 O MINIMAL STRUCTURES 203684 1% 73% 68 Search O+MINIMAL+STRUCTURES Search O+MINIMAL+STRUCTURES
3 O MINIMALITY 196722 1% 87% 55 Search O+MINIMALITY Search O+MINIMALITY
4 POLYNOMIAL AUTOMORPHISMS 110610 0% 75% 36 Search POLYNOMIAL+AUTOMORPHISMS Search POLYNOMIAL+AUTOMORPHISMS
5 RESOLUTION OF SINGULARITIES 108568 1% 51% 52 Search RESOLUTION+OF+SINGULARITIES Search RESOLUTION+OF+SINGULARITIES
6 MOTIVIC INTEGRATION 104413 0% 88% 29 Search MOTIVIC+INTEGRATION Search MOTIVIC+INTEGRATION
7 LOCALLY NILPOTENT DERIVATION 98312 0% 67% 36 Search LOCALLY+NILPOTENT+DERIVATION Search LOCALLY+NILPOTENT+DERIVATION
8 O MINIMAL 90768 0% 92% 24 Search O+MINIMAL Search O+MINIMAL
9 LOJASIEWICZ EXPONENT 84281 0% 86% 24 Search LOJASIEWICZ+EXPONENT Search LOJASIEWICZ+EXPONENT
10 MILNOR NUMBER 82957 0% 75% 27 Search MILNOR+NUMBER Search MILNOR+NUMBER

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 DUTTA, AK , GUPTA, N , (2015) THE EPIMORPHISM THEOREM AND ITS GENERALIZATIONS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 14. ISSUE 9. P. - 44 94% 1
2 KUCHARZ, W , (2011) ALGEBRAICITY OF CYCLES ON SMOOTH MANIFOLDS.SELECTA MATHEMATICA-NEW SERIES. VOL. 17. ISSUE 4. P. 855-878 41 100% 0
3 MEUSER, D , (2016) A SURVEY OF IGUSA'S LOCAL ZETA FUNCTION.AMERICAN JOURNAL OF MATHEMATICS. VOL. 138. ISSUE 1. P. 149 -179 41 75% 0
4 ELEFTHERIOU, PE , (2013) NON-STANDARD LATTICES AND O-MINIMAL GROUPS.BULLETIN OF SYMBOLIC LOGIC. VOL. 19. ISSUE 1. P. 56-76 32 100% 0
5 SUWA, T , BRASSELET, JP , SEADE, J , (2009) THE CASE OF MANIFOLDS.VECTOR FIELDS ON SINGULAR VARIETIES. VOL. 1987. ISSUE . P. 1 -+ 46 77% 0
6 BORIES, B , VEYS, W , (2016) IGUSA'S P-ADIC LOCAL ZETA FUNCTION AND THE MONODROMY CONJECTURE FOR NON-DEGENERATE SURFACE SINGULARITIES.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 242. ISSUE 1145. P. 1 -+ 28 97% 0
7 SCHEIDERER, C , (1992) REAL ALGEBRA AND ITS APPLICATIONS TO GEOMETRY IN THE LAST 10 YEARS - SOME MAJOR DEVELOPMENTS AND RESULTS.LECTURE NOTES IN MATHEMATICS. VOL. 1524. ISSUE . P. 75 -96 63 84% 0
8 CAMPESATO, JB , (2016) AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES.NAGOYA MATHEMATICAL JOURNAL. VOL. 223. ISSUE 1. P. 162 -194 25 96% 0
9 CLUCKERS, R , LIPSHITZ, L , (2011) FIELDS WITH ANALYTIC STRUCTURE.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 13. ISSUE 4. P. 1147 -1223 27 93% 15
10 DOLICH, A , MILLER, C , STEINHORN, C , (2010) STRUCTURES HAVING O-MINIMAL OPEN CORE.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 3. P. 1371-1411 27 96% 13

Classes with closest relation at Level 2


Rank Class id link
1 3125 JOURNAL OF SYMBOLIC LOGIC//LOGIC//ABSTRACT ELEMENTARY CLASSES
2 507 MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE
3 2282 LOCAL COHOMOLOGY//MONOMIAL IDEALS//LOCAL COHOMOLOGY MODULES
4 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
5 1918 HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA
6 1707 JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS
7 376 JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA
8 885 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
9 4057 LATTICE ORDERED ALGEBRA//GROSSONE//LAGUERRE PLANE
10 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY

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