Class information for:
Level 1: HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12903 873 19.3 39%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
181 3       DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//MATHEMATICS 56539
1441 2             GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER 7841
12903 1                   HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY 873

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 HYPERPLANE ARRANGEMENT authKW 1629055 11% 48% 97
2 RESONANCE VARIETY authKW 489665 2% 100% 14
3 CHARACTERISTIC VARIETY authKW 468495 3% 56% 24
4 FREE ARRANGEMENT authKW 428453 2% 88% 14
5 FREE DIVISOR authKW 360798 2% 74% 14
6 LOCAL SYSTEM authKW 326052 2% 55% 17
7 COXETER ARRANGEMENT authKW 325543 1% 85% 11
8 LINE ARRANGEMENT authKW 297279 2% 50% 17
9 SUPERSOLVABLE ARRANGEMENTS authKW 244832 1% 100% 7
10 ARRANGEMENT OF HYPERPLANES authKW 238457 2% 45% 15

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 42807 94% 0% 821
2 Mathematics, Applied 2328 21% 0% 186
3 Physics, Mathematical 46 3% 0% 24
4 Computer Science, Theory & Methods 9 2% 0% 14
5 Statistics & Probability -0 1% 0% 5
6 Medical Informatics -0 0% 0% 1
7 Soil Science -1 0% 0% 1
8 Mathematics, Interdisciplinary Applications -3 0% 0% 1
9 Engineering, Biomedical -3 0% 0% 1
10 Water Resources -4 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 IMAGE KNOWLEDGE GESTALTUNG 52461 0% 50% 3
2 HBEREICH MATH INFORMAT 2 34976 0% 100% 1
3 ICMAT CSIC UAM UCM U3CM 34976 0% 100% 1
4 INVEST OPERACT 34976 0% 100% 1
5 LEHRSTUHL ZAHLENTHEORIE 34976 0% 100% 1
6 SEKR MA 7 1 34976 0% 100% 1
7 UFR SCI TECHBUREAU 310 34976 0% 100% 1
8 UMR 6093 MATH 34976 0% 100% 1
9 UNIT MIXTE RECH 7351 34976 0% 100% 1
10 EMMY NOETHER MATH 34974 0% 50% 2

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 ADVANCES IN MATHEMATICS 13787 5% 1% 43
2 JOURNAL OF ALGEBRAIC COMBINATORICS 13755 2% 2% 21
3 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 8491 3% 1% 27
4 EUROPEAN JOURNAL OF COMBINATORICS 7083 3% 1% 25
5 COMPOSITIO MATHEMATICA 6275 2% 1% 21
6 TOPOLOGY AND ITS APPLICATIONS 5835 4% 1% 32
7 MOSCOW MATHEMATICAL JOURNAL 5032 1% 2% 9
8 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 4912 4% 0% 36
9 INVENTIONES MATHEMATICAE 4897 2% 1% 21
10 COMMENTARII MATHEMATICI HELVETICI 4632 1% 1% 13

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 HYPERPLANE ARRANGEMENT 1629055 11% 48% 97 Search HYPERPLANE+ARRANGEMENT Search HYPERPLANE+ARRANGEMENT
2 RESONANCE VARIETY 489665 2% 100% 14 Search RESONANCE+VARIETY Search RESONANCE+VARIETY
3 CHARACTERISTIC VARIETY 468495 3% 56% 24 Search CHARACTERISTIC+VARIETY Search CHARACTERISTIC+VARIETY
4 FREE ARRANGEMENT 428453 2% 88% 14 Search FREE+ARRANGEMENT Search FREE+ARRANGEMENT
5 FREE DIVISOR 360798 2% 74% 14 Search FREE+DIVISOR Search FREE+DIVISOR
6 LOCAL SYSTEM 326052 2% 55% 17 Search LOCAL+SYSTEM Search LOCAL+SYSTEM
7 COXETER ARRANGEMENT 325543 1% 85% 11 Search COXETER+ARRANGEMENT Search COXETER+ARRANGEMENT
8 LINE ARRANGEMENT 297279 2% 50% 17 Search LINE+ARRANGEMENT Search LINE+ARRANGEMENT
9 SUPERSOLVABLE ARRANGEMENTS 244832 1% 100% 7 Search SUPERSOLVABLE+ARRANGEMENTS Search SUPERSOLVABLE+ARRANGEMENTS
10 ARRANGEMENT OF HYPERPLANES 238457 2% 45% 15 Search ARRANGEMENT+OF+HYPERPLANES Search ARRANGEMENT+OF+HYPERPLANES

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 SALVETTI, M , SERVENTI, M , (2016) ARRANGEMENTS OF LINES AND MONODROMY OF ASSOCIATED MILNOR FIBERS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 25. ISSUE 12. P. - 23 96% 0
2 SCHENCK, H , (2011) RESONANCE VARIETIES VIA BLOWUPS OF P-2 AND SCROLLS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 20. P. 4756 -4778 26 87% 4
3 DENHAM, G , SUCIU, AI , (2014) MULTINETS, PARALLEL CONNECTIONS, AND MILNOR FIBRATIONS OF ARRANGEMENTS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 108. ISSUE . P. 1435 -1470 21 95% 1
4 COHEN, DC , ORLIK, P , (2006) STRATIFIED MORSE THEORY IN ARRANGEMENTS.PURE AND APPLIED MATHEMATICS QUARTERLY. VOL. 2. ISSUE 3. P. 673-697 25 93% 1
5 DIMCA, A , PAPADIMA, S , SUCIU, AI , (2009) TOPOLOGY AND GEOMETRY OF COHOMOLOGY JUMP LOCI.DUKE MATHEMATICAL JOURNAL. VOL. 148. ISSUE 3. P. 405-457 28 68% 19
6 COHEN, D , DENHAM, G , FALK, M , VARCHENKO, A , (2011) CRITICAL POINTS AND RESONANCE OF HYPERPLANE ARRANGEMENTS.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 63. ISSUE 5. P. 1038-1057 19 95% 9
7 COHEN, DC , SCHENCK, HK , (2015) CHEN RANKS AND RESONANCE.ADVANCES IN MATHEMATICS. VOL. 285. ISSUE . P. 1 -27 20 83% 0
8 DIMCA, A , PAPADIMA, S , (2011) FINITE GALOIS COVERS, COHOMOLOGY JUMP LOCI, FORMALITY PROPERTIES, AND MULTINETS.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 10. ISSUE 2. P. 253 -268 19 95% 1
9 D'ANTONIO, G , DELUCCHI, E , (2015) MINIMALITY OF TORIC ARRANGEMENTS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 3. P. 483 -521 18 90% 0
10 PAPADIMA, S , SUCIU, AI , (2004) CHEN LIE ALGEBRAS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 21. P. 1057-1086 20 100% 23

Classes with closest relation at Level 1


Rank Class id link
1 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
2 15085 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
3 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
4 13158 D MODULES//HYPERGEOMETRIC SYSTEMS//D MODULE
5 19910 SMALL COVER//QUASITORIC MANIFOLD//ELLIPTIC GENERA
6 15639 HIRSCH CONJECTURE//DISCRETE & COMPUTATIONAL GEOMETRY//ORIENTED MATROID
7 18343 CHARACTER SHEAVES//SPRINGER CORRESPONDENCE//GEOMETRIC LANGLANDS PROGRAM
8 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
9 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
10 21060 CHIP FIRING//SEQUENTIAL DYNAMICAL SYSTEMS//CHIP FIRING GAME

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