Class information for:
Level 1: GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
33461 124 16.0 28%


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
33461 1                   GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS 124

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 GROTHENDIECKS PAIRING authKW 738764 2% 100% 3
2 NERON MODELS authKW 615632 4% 50% 5
3 DIFFERENTS authKW 492509 2% 100% 2
4 MODELS OF CURVES authKW 492509 2% 100% 2
5 NORM TORI authKW 492509 2% 100% 2
6 TAME CYCLIC QUOTIENT SINGULARITIES authKW 492509 2% 100% 2
7 COMPONENT GROUP authKW 328338 2% 67% 2
8 ALGEBRA OF FINITE TYPE authKW 246255 1% 100% 1
9 ALPHA ADIC FIELDS authKW 246255 1% 100% 1
10 ARITHMETICAL TREE authKW 246255 1% 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 6890 100% 0% 124
2 Mathematics, Applied 21 6% 0% 8

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 DISCRETE GEOMETRY GRP 82084 1% 33% 1
2 CNRS UMR 9994 61562 1% 25% 1
3 MATH BORDEAUX UMR 5251 30780 1% 13% 1
4 MATH PU 9289 2% 2% 2
5 ALGEBRA GEOMETRIE 9040 2% 1% 3
6 BOYD STUDIES 4102 1% 2% 1
7 A2X 2618 1% 1% 1
8 MATH BORDEAUX 1841 2% 0% 2
9 MATH 1053 35% 0% 43
10 WISKUNDE 785 1% 0% 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 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 27987 13% 1% 16
2 ALGEBRA & NUMBER THEORY 17578 5% 1% 6
3 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 5530 7% 0% 9
4 NAGOYA MATHEMATICAL JOURNAL 5078 4% 0% 5
5 JOURNAL OF ALGEBRAIC GEOMETRY 4357 2% 1% 3
6 MATHEMATISCHE ANNALEN 4245 7% 0% 9
7 COMPOSITIO MATHEMATICA 3618 5% 0% 6
8 JOURNAL OF PURE AND APPLIED ALGEBRA 2064 6% 0% 7
9 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 1855 2% 0% 3
10 JOURNAL OF NUMBER THEORY 1304 4% 0% 5

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 GROTHENDIECKS PAIRING 738764 2% 100% 3 Search GROTHENDIECKS+PAIRING Search GROTHENDIECKS+PAIRING
2 NERON MODELS 615632 4% 50% 5 Search NERON+MODELS Search NERON+MODELS
3 DIFFERENTS 492509 2% 100% 2 Search DIFFERENTS Search DIFFERENTS
4 MODELS OF CURVES 492509 2% 100% 2 Search MODELS+OF+CURVES Search MODELS+OF+CURVES
5 NORM TORI 492509 2% 100% 2 Search NORM+TORI Search NORM+TORI
6 TAME CYCLIC QUOTIENT SINGULARITIES 492509 2% 100% 2 Search TAME+CYCLIC+QUOTIENT+SINGULARITIES Search TAME+CYCLIC+QUOTIENT+SINGULARITIES
7 COMPONENT GROUP 328338 2% 67% 2 Search COMPONENT+GROUP Search COMPONENT+GROUP
8 ALGEBRA OF FINITE TYPE 246255 1% 100% 1 Search ALGEBRA+OF+FINITE+TYPE Search ALGEBRA+OF+FINITE+TYPE
9 ALPHA ADIC FIELDS 246255 1% 100% 1 Search ALPHA+ADIC+FIELDS Search ALPHA+ADIC+FIELDS
10 ARITHMETICAL TREE 246255 1% 100% 1 Search ARITHMETICAL+TREE Search ARITHMETICAL+TREE

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 LORENZINI, D , (2010) MODELS OF CURVES AND WILD RAMIFICATION.PURE AND APPLIED MATHEMATICS QUARTERLY. VOL. 6. ISSUE 1. P. 41 -82 13 81% 2
2 HERTGEN, A , (2016) SPLITTING PROPERTIES OF THE REDUCTION OF SEMI-ABELIAN VARIETIES.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 12. ISSUE 8. P. 2241 -2264 8 89% 0
3 BOSCH, S , LORENZINI, D , (2002) GROTHENDIECK'S PAIRING ON COMPONENT GROUPS OF JACOBIANS.INVENTIONES MATHEMATICAE. VOL. 148. ISSUE 2. P. 353-396 10 83% 11
4 LORENZINI, D , (2014) WILD MODELS OF CURVES.ALGEBRA & NUMBER THEORY. VOL. 8. ISSUE 2. P. 331 -367 9 60% 1
5 LIU, Q , LU, HJ , (2013) CONGRUENCES OF MODELS OF ELLIPTIC CURVES.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 88. ISSUE . P. 899-924 7 78% 0
6 LORENZINI, D , (2008) GROTHENDIECK'S PAIRING FOR JACOBIANS AND BASE CHANGE.JOURNAL OF NUMBER THEORY. VOL. 128. ISSUE 6. P. 1448-1457 6 100% 1
7 LIU, Q , LORENZINI, D , (2001) SPECIAL FIBERS OF NERON MODELS AND WILD RAMIFICATION.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 532. ISSUE . P. 179-222 8 89% 6
8 GONZALEZ-AVILES, CD , (2010) ON NERON-RAYNAUD CLASS GROUPS OF TORI AND THE CAPITULATION PROBLEM.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 648. ISSUE . P. 149-182 8 62% 0
9 MITSUI, K , (2016) CANONICAL BUNDLE FORMULA AND BASE CHANGE.JOURNAL OF ALGEBRAIC GEOMETRY. VOL. 25. ISSUE 4. P. 775 -814 5 83% 0
10 GONZALEZ-AVILES, CD , (2008) CHEVALLEY'S AMBIGUOUS CLASS NUMBER FORMULA FOR AN ARBITRARY TORUS.MATHEMATICAL RESEARCH LETTERS. VOL. 15. ISSUE 5-6. P. 1149-1165 5 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
2 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
3 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
4 19760 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
5 22206 THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS
6 21060 CHIP FIRING//SEQUENTIAL DYNAMICAL SYSTEMS//CHIP FIRING GAME
7 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
8 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
9 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION
10 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX

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