Class information for:
Level 1: SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
16033 677 17.7 38%



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
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
552 2             JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY 14591
16033 1                   SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES 677

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 SPHERICAL VARIETIES authKW 882104 4% 67% 29
2 COX RING authKW 429528 3% 48% 20
3 WONDERFUL VARIETIES authKW 405924 1% 100% 9
4 SYMMETRIC VARIETIES authKW 346939 1% 77% 10
5 SPHERICAL SUBGROUP authKW 222038 1% 62% 8
6 HIGHER ALGEBRA address 209909 2% 29% 16
7 TRANSFORMATION GROUPS journal 193981 7% 9% 49
8 COMPLETE SYMMETRIC VARIETY authKW 180410 1% 100% 4
9 CHARACTER SHEAF authKW 147603 1% 55% 6
10 BERNSTEIN KUSHNIRENKO THEOREM authKW 135308 0% 100% 3

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 35941 98% 0% 662
2 Mathematics, Applied 641 13% 0% 90
3 Physics, Mathematical 2 1% 0% 8
4 Computer Science, Theory & Methods -1 0% 0% 3
5 Statistics & Probability -2 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 HIGHER ALGEBRA 209909 2% 29% 16
2 LS ALGEBRA GEOMETRIE 135308 0% 100% 3
3 H D197 90205 0% 100% 2
4 LEHRSTUHL ALGEBRA GEOMETRIE 90205 0% 100% 2
5 EMMY NOETHER ZENTRUM 70466 1% 31% 5
6 ANAL MATEMAT GEOMETRIA SISTEMAS DINAMIC 45103 0% 100% 1
7 CNRS UJFUMR 5582 45103 0% 100% 1
8 COMPUT MATH MATH SYST SCI 45103 0% 100% 1
9 DEPARTIMENTO ENGN SCI 45103 0% 100% 1
10 HBERICH MATH STAT 45103 0% 100% 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 TRANSFORMATION GROUPS 193981 7% 9% 49
2 MOSCOW MATHEMATICAL JOURNAL 26014 3% 3% 18
3 JOURNAL OF LIE THEORY 23888 3% 3% 20
4 JOURNAL OF ALGEBRA 15517 10% 1% 67
5 CONTEMPORARY MATHEMATICS 7752 1% 4% 4
6 ANNALES DE L INSTITUT FOURIER 6708 3% 1% 18
7 SBORNIK MATHEMATICS 6539 2% 1% 15
8 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 5088 2% 1% 14
9 COMPOSITIO MATHEMATICA 4696 2% 1% 16
10 ADVANCES IN MATHEMATICS 4639 3% 0% 22

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 SPHERICAL VARIETIES 882104 4% 67% 29 Search SPHERICAL+VARIETIES Search SPHERICAL+VARIETIES
2 COX RING 429528 3% 48% 20 Search COX+RING Search COX+RING
3 WONDERFUL VARIETIES 405924 1% 100% 9 Search WONDERFUL+VARIETIES Search WONDERFUL+VARIETIES
4 SYMMETRIC VARIETIES 346939 1% 77% 10 Search SYMMETRIC+VARIETIES Search SYMMETRIC+VARIETIES
5 SPHERICAL SUBGROUP 222038 1% 62% 8 Search SPHERICAL+SUBGROUP Search SPHERICAL+SUBGROUP
6 COMPLETE SYMMETRIC VARIETY 180410 1% 100% 4 Search COMPLETE+SYMMETRIC+VARIETY Search COMPLETE+SYMMETRIC+VARIETY
7 CHARACTER SHEAF 147603 1% 55% 6 Search CHARACTER+SHEAF Search CHARACTER+SHEAF
8 BERNSTEIN KUSHNIRENKO THEOREM 135308 0% 100% 3 Search BERNSTEIN+KUSHNIRENKO+THEOREM Search BERNSTEIN+KUSHNIRENKO+THEOREM
9 T VARIETIES 135308 0% 100% 3 Search T+VARIETIES Search T+VARIETIES
10 TOTAL COORDINATE RING 135308 0% 100% 3 Search TOTAL+COORDINATE+RING Search TOTAL+COORDINATE+RING

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 PERRIN, N , (2014) ON THE GEOMETRY OF SPHERICAL VARIETIES.TRANSFORMATION GROUPS. VOL. 19. ISSUE 1. P. 171 -223 63 65% 7
2 AVDEEV, R , (2015) STRONGLY SOLVABLE SPHERICAL SUBGROUPS AND THEIR COMBINATORIAL INVARIANTS.SELECTA MATHEMATICA-NEW SERIES. VOL. 21. ISSUE 3. P. 931 -993 26 93% 0
3 LANGLOIS, K , TERPEREAU, R , (2016) ON THE GEOMETRY OF NORMAL HOROSPHERICAL G-VARIETIES OF COMPLEXITY ONE.JOURNAL OF LIE THEORY. VOL. 26. ISSUE 1. P. 49 -78 23 96% 0
4 LUNA, D , BRAVI, P , (2011) AN INTRODUCTION TO WONDERFUL VARIETIES WITH MANY EXAMPLES OF TYPE F-4.JOURNAL OF ALGEBRA. VOL. 329. ISSUE 1. P. 4 -51 20 95% 11
5 GAGLIARDI, G , (2015) A COMBINATORIAL SMOOTHNESS CRITERION FOR SPHERICAL VARIETIES.MANUSCRIPTA MATHEMATICA. VOL. 146. ISSUE 3-4. P. 445 -461 18 100% 0
6 GAGLIARDI, G , HOFSCHEIER, J , (2017) THE GENERALIZED MUKAI CONJECTURE FOR SYMMETRIC VARIETIES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 369. ISSUE 4. P. 2615 -2649 18 86% 0
7 BRAVI, P , GANDINI, J , MAFFEI, A , (2016) PROJECTIVE NORMALITY OF MODEL VARIETIES AND RELATED RESULTS.REPRESENTATION THEORY. VOL. 20. ISSUE . P. 39 -93 20 77% 0
8 BRAVI, P , PEZZINI, G , (2015) THE SPHERICAL SYSTEMS OF THE WONDERFUL REDUCTIVE SUBGROUPS.JOURNAL OF LIE THEORY. VOL. 25. ISSUE 1. P. 105 -123 15 94% 6
9 LOSEV, IV , (2009) UNIQUENESS PROPERTY FOR SPHERICAL HOMOGENEOUS SPACES.DUKE MATHEMATICAL JOURNAL. VOL. 147. ISSUE 2. P. 315 -343 17 100% 18
10 BRAVI, P , PEZZINI, G , (2016) PRIMITIVE WONDERFUL VARIETIES.MATHEMATISCHE ZEITSCHRIFT. VOL. 282. ISSUE 3-4. P. 1067 -1096 11 100% 5

Classes with closest relation at Level 1



Rank Class id link
1 12786 SPRINGER FIBERS//NILPOTENT ORBITS//FINITE W ALGEBRAS
2 28789 RENNER MONOID//REDUCTIVE MONOID//ALGEBRAIC MONOIDS
3 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
4 28855 SUPERCHARACTERS//ALGEBRA GROUPS//FINITE UNIPOTENT GROUP
5 18343 CHARACTER SHEAVES//SPRINGER CORRESPONDENCE//GEOMETRIC LANGLANDS PROGRAM
6 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
7 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
8 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
9 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS
10 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES

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