Class information for:
Level 1: LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5360 1634 18.6 33%


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

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 LOJASIEWICZ EXPONENT authKW 322988 1% 79% 22
2 MILNOR NUMBER authKW 251203 1% 61% 22
3 MOTIVIC INTEGRATION authKW 249695 1% 64% 21
4 NEWTON POLYHEDRON authKW 177307 1% 43% 22
5 QUASI ORDINARY SINGULARITIES authKW 173918 1% 85% 11
6 SINGULARITIES AT INFINITY authKW 151353 1% 90% 9
7 MOTIVIC ZETA FUNCTION authKW 150726 1% 73% 11
8 MONODROMY CONJECTURE authKW 149486 0% 100% 8
9 CONSTRUCTIBLE FUNCTION authKW 143732 1% 77% 10
10 CHERN SCHWARTZ MACPHERSON CLASS authKW 137592 1% 82% 9

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 84028 96% 0% 1573
2 Mathematics, Applied 2270 16% 0% 258
3 Computer Science, Theory & Methods 19 2% 0% 27
4 Multidisciplinary Sciences 1 0% 0% 7
5 Automation & Control Systems -2 0% 0% 3
6 Physics, Mathematical -6 0% 0% 4
7 Mathematics, Interdisciplinary Applications -6 0% 0% 1
8 Computer Science, Artificial Intelligence -9 0% 0% 1
9 Mechanics -11 0% 0% 4
10 Instruments & Instrumentation -13 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 WISKUNDE 64953 2% 11% 33
2 ALGEBRA GEOMETRY TOPOL 64584 1% 31% 11
3 MATH HEIDELBERG MATCH 42707 0% 57% 4
4 ETSGE 42041 0% 75% 3
5 UNIDAD CUERNAVACA 41606 1% 12% 19
6 DPTO ALGEBRA GEOMETRIA 37372 0% 100% 2
7 PAINLEVE 36623 1% 20% 10
8 IMUVA INVEST MATEMAT 33632 0% 60% 3
9 MATEMAT ESTADIST IO 27174 0% 36% 4
10 CONTROLE AUTOMAT 24913 0% 67% 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 ANNALES DE L INSTITUT FOURIER 35195 4% 3% 64
2 COMPOSITIO MATHEMATICA 30248 4% 3% 63
3 REVISTA MATEMATICA COMPLUTENSE 27142 1% 7% 20
4 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 24182 2% 5% 25
5 TOPOLOGY 17526 2% 3% 35
6 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 16606 5% 1% 87
7 MANUSCRIPTA MATHEMATICA 15521 3% 2% 52
8 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 15424 2% 2% 38
9 JOURNAL OF ALGEBRAIC GEOMETRY 13242 1% 4% 19
10 BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE 11765 1% 3% 23

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 LOJASIEWICZ EXPONENT 322988 1% 79% 22 Search LOJASIEWICZ+EXPONENT Search LOJASIEWICZ+EXPONENT
2 MILNOR NUMBER 251203 1% 61% 22 Search MILNOR+NUMBER Search MILNOR+NUMBER
3 MOTIVIC INTEGRATION 249695 1% 64% 21 Search MOTIVIC+INTEGRATION Search MOTIVIC+INTEGRATION
4 NEWTON POLYHEDRON 177307 1% 43% 22 Search NEWTON+POLYHEDRON Search NEWTON+POLYHEDRON
5 QUASI ORDINARY SINGULARITIES 173918 1% 85% 11 Search QUASI+ORDINARY+SINGULARITIES Search QUASI+ORDINARY+SINGULARITIES
6 SINGULARITIES AT INFINITY 151353 1% 90% 9 Search SINGULARITIES+AT+INFINITY Search SINGULARITIES+AT+INFINITY
7 MOTIVIC ZETA FUNCTION 150726 1% 73% 11 Search MOTIVIC+ZETA+FUNCTION Search MOTIVIC+ZETA+FUNCTION
8 MONODROMY CONJECTURE 149486 0% 100% 8 Search MONODROMY+CONJECTURE Search MONODROMY+CONJECTURE
9 CONSTRUCTIBLE FUNCTION 143732 1% 77% 10 Search CONSTRUCTIBLE+FUNCTION Search CONSTRUCTIBLE+FUNCTION
10 CHERN SCHWARTZ MACPHERSON CLASS 137592 1% 82% 9 Search CHERN+SCHWARTZ+MACPHERSON+CLASS Search CHERN+SCHWARTZ+MACPHERSON+CLASS

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 MEUSER, D , (2016) A SURVEY OF IGUSA'S LOCAL ZETA FUNCTION.AMERICAN JOURNAL OF MATHEMATICS. VOL. 138. ISSUE 1. P. 149 -179 38 69% 0
2 SUWA, T , BRASSELET, JP , SEADE, J , (2009) THE CASE OF MANIFOLDS.VECTOR FIELDS ON SINGULAR VARIETIES. VOL. 1987. ISSUE . P. 1 -+ 43 72% 0
3 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 -+ 25 86% 0
4 PEREZ, PDG , HERNANDO, F , (2009) QUASI-ORDINARY SINGULARITIES, ESSENTIAL DIVISORS AND POINCARE SERIES.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 79. ISSUE . P. 780-802 22 100% 1
5 GUSEIN-ZADE, SM , (2010) INTEGRATION WITH RESPECT TO THE EULER CHARACTERISTIC AND ITS APPLICATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 65. ISSUE 3. P. 399 -432 28 76% 2
6 LEYTON-ALVAREZ, M , (2016) FAMILIES OF M-JET SPACES AND ARC SPACES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 1. P. 1 -33 20 91% 0
7 RAIBAUT, M , (2013) MOTIVIC MILNOR FIBERS OF A RATIONAL FUNCTION.REVISTA MATEMATICA COMPLUTENSE. VOL. 26. ISSUE 2. P. 705-734 20 95% 2
8 NEMETHI, A , VEYS, W , (2012) GENERALIZED MONODROMY CONJECTURE IN DIMENSION TWO.GEOMETRY & TOPOLOGY. VOL. 16. ISSUE 1. P. 155 -217 21 91% 3
9 CISNEROS-MOLINA, JL , SEADE, J , GRULHA, NG , (2014) ON THE TOPOLOGY OF REAL ANALYTIC MAPS.INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 25. ISSUE 7. P. - 19 95% 0
10 BIRBRAIR, L , NEUMANN, WD , PICHON, A , (2014) THE THICK-THIN DECOMPOSITION AND THE BILIPSCHITZ CLASSIFICATION OF NORMAL SURFACE SINGULARITIES.ACTA MATHEMATICA. VOL. 212. ISSUE 2. P. 199 -256 22 81% 0

Classes with closest relation at Level 1


Rank Class id link
1 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
2 7469 LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI
3 9563 O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL
4 33461 GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS
5 13158 D MODULES//HYPERGEOMETRIC SYSTEMS//D MODULE
6 11480 INTERSECTION HOMOLOGY//ALGEBRAIC CYCLES//CHOW GROUPS
7 8212 JACOBIAN CONJECTURE//POLYNOMIAL AUTOMORPHISMS//LOCALLY NILPOTENT DERIVATION
8 13113 HOLOMORPHIC FOLIATION//ANALYTIC CLASSIFICATION//LOTKA VOLTERRA DERIVATION
9 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
10 12903 HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY

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