Class information for:
Level 1: ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23111 358 19.1 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
23111 1                   ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE 358

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 ABELIAN VARIETIES authKW 814876 15% 18% 52
2 HODGE CONJECTURE authKW 516016 3% 55% 11
3 STANDARD CONJECTURE OF LEFSCHETZ TYPE authKW 511762 2% 100% 6
4 TATE MODULES authKW 341174 1% 100% 4
5 SUPPORT PROBLEM authKW 266539 1% 63% 5
6 SUPERELLIPTIC JACOBIANS authKW 255881 1% 100% 3
7 TATE CONJECTURE authKW 219959 2% 37% 7
8 L ADIC REPRESENTATIONS authKW 194953 1% 57% 4
9 BIG GALOIS IMAGE authKW 170587 1% 100% 2
10 ELLIPTIC VARIETY authKW 170587 1% 100% 2

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 18888 97% 0% 349
2 Mathematics, Applied 215 11% 0% 39
3 COMPUTER APPLICATIONS & CYBERNETICS 31 0% 0% 1
4 Computer Science, Theory & Methods 1 1% 0% 4
5 Imaging Science & Photographic Technology 0 0% 0% 1
6 Multidisciplinary Sciences 0 0% 0% 1
7 Statistics & Probability -1 0% 0% 1
8 Mechanics -1 1% 0% 2
9 Physics, Mathematical -1 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 DIPARTIMENTO SCI MATEMAT INFORMATICHE ROBERT MA 85294 0% 100% 1
2 INTERDISCIPLINARY SCI COMP INF 368 85294 0% 100% 1
3 MATEMAT LICADE 4 85294 0% 100% 1
4 LEHRSTUHL 9 42646 0% 50% 1
5 MATH PROBLEM BIOL 42646 0% 50% 1
6 EQUIPE ARITHMET GEOMETRIE ALGEBR 31013 1% 18% 2
7 MATH PROBLEMS BIOL 27828 3% 3% 12
8 MATH LAURENT WARTZ 24685 2% 4% 8
9 ABORAT INNOVAT MATH 10660 0% 13% 1
10 THEORET INFORMAT MATH 9217 1% 5% 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 IZVESTIYA MATHEMATICS 24365 4% 2% 16
2 EDP ANALYZER 12183 0% 14% 1
3 JOURNAL OF NUMBER THEORY 9581 6% 0% 23
4 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 6399 1% 2% 4
5 MATHEMATICS OF THE USSR-IZVESTIYA 6242 2% 1% 6
6 MATHEMATICAL RESEARCH LETTERS 4799 3% 1% 10
7 COMPOSITIO MATHEMATICA 4204 3% 0% 11
8 MATHEMATISCHE ANNALEN 3545 4% 0% 14
9 DUKE MATHEMATICAL JOURNAL 3520 3% 0% 11
10 ALGEBRA & NUMBER THEORY 2700 1% 1% 4

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 ABELIAN VARIETIES 814876 15% 18% 52 Search ABELIAN+VARIETIES Search ABELIAN+VARIETIES
2 HODGE CONJECTURE 516016 3% 55% 11 Search HODGE+CONJECTURE Search HODGE+CONJECTURE
3 STANDARD CONJECTURE OF LEFSCHETZ TYPE 511762 2% 100% 6 Search STANDARD+CONJECTURE+OF+LEFSCHETZ+TYPE Search STANDARD+CONJECTURE+OF+LEFSCHETZ+TYPE
4 TATE MODULES 341174 1% 100% 4 Search TATE+MODULES Search TATE+MODULES
5 SUPPORT PROBLEM 266539 1% 63% 5 Search SUPPORT+PROBLEM Search SUPPORT+PROBLEM
6 SUPERELLIPTIC JACOBIANS 255881 1% 100% 3 Search SUPERELLIPTIC+JACOBIANS Search SUPERELLIPTIC+JACOBIANS
7 TATE CONJECTURE 219959 2% 37% 7 Search TATE+CONJECTURE Search TATE+CONJECTURE
8 L ADIC REPRESENTATIONS 194953 1% 57% 4 Search L+ADIC+REPRESENTATIONS Search L+ADIC+REPRESENTATIONS
9 BIG GALOIS IMAGE 170587 1% 100% 2 Search BIG+GALOIS+IMAGE Search BIG+GALOIS+IMAGE
10 ELLIPTIC VARIETY 170587 1% 100% 2 Search ELLIPTIC+VARIETY Search ELLIPTIC+VARIETY

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 HINDRY, M , RATAZZI, N , (2016) TORSION FOR TYPE I AND II ABELIAN VARIETIES.ALGEBRA & NUMBER THEORY. VOL. 10. ISSUE 9. P. 1845 -1891 14 93% 0
2 BANASZAK, G , KRASON, P , (2011) ON ARITHMETIC IN MORDELL-WEIL GROUPS.ACTA ARITHMETICA. VOL. 150. ISSUE 4. P. 315-337 16 89% 1
3 LOMBARDO, D , (2016) ON THE L-ADIC GALOIS REPRESENTATIONS ATTACHED TO NONSIMPLE ABELIAN VARIETIES.ANNALES DE L INSTITUT FOURIER. VOL. 66. ISSUE 3. P. 1217 -1245 14 74% 1
4 ZARHIN, YG , (2016) TWO-DIMENSIONAL FAMILIES OF HYPERELLIPTIC JACOBIANS WITH BIG MONODROMY.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 5. P. 3651 -3672 11 92% 0
5 PERUCCA, A , (2010) ON THE PROBLEM OF DETECTING LINEAR DEPENDENCE FOR PRODUCTS OF ABELIAN VARIETIES AND TORI.ACTA ARITHMETICA. VOL. 142. ISSUE 2. P. 119-128 11 100% 3
6 ARIAS-DE-REYNA, S , GAJDA, W , PETERSEN, S , (2013) ABELIAN VARIETIES OVER FINITELY GENERATED FIELDS AND THE CONJECTURE OF GEYER AND JARDEN ON TORSION.MATHEMATISCHE NACHRICHTEN. VOL. 286. ISSUE 13. P. 1269-1286 10 100% 0
7 BANASZAK, G , GAJDA, W , KRASON, P , (2010) ON THE IMAGE OF GALOIS L-ADIC REPRESENTATIONS FOR ABELIAN VARIETIES OF TYPE III.TOHOKU MATHEMATICAL JOURNAL. VOL. 62. ISSUE 2. P. 163-189 12 86% 4
8 BARANCZUK, S , (2010) ON A GENERALIZATION OF THE SUPPORT PROBLEM OF ERDOS AND ITS ANALOGUES FOR ABELIAN VARIETIES AND K-THEORY.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 214. ISSUE 4. P. 380-384 10 100% 3
9 ACHTER, JD , (2012) EXPLICIT BOUNDS FOR SPLIT REDUCTIONS OF SIMPLE ABELIAN VARIETIES.JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX. VOL. 24. ISSUE 1. P. 41 -55 11 85% 1
10 ZARHIN, YG , (2010) FAMILIES OF ABSOLUTELY SIMPLE HYPERELLIPTIC JACOBIANS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 100. ISSUE . P. 24-54 12 80% 1

Classes with closest relation at Level 1


Rank Class id link
1 33461 GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS
2 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
3 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA
4 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
5 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
6 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
7 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
8 11480 INTERSECTION HOMOLOGY//ALGEBRAIC CYCLES//CHOW GROUPS
9 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
10 3191 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY

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