Class information for:
Level 1: CR MANIFOLD//CR MAPPINGS//CR FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7020 1415 16.4 34%


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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
1570 2             PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD 7330
7020 1                   CR MANIFOLD//CR MAPPINGS//CR FUNCTIONS 1415

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 CR MANIFOLD authKW 561196 4% 51% 51
2 CR MAPPINGS authKW 354072 1% 86% 19
3 CR FUNCTIONS authKW 316464 2% 67% 22
4 CR SINGULARITY authKW 215781 1% 100% 10
5 ANALYTIC DISCS authKW 173642 1% 62% 13
6 FINITE JET DETERMINATION authKW 172625 1% 100% 8
7 LEVI FLAT HYPERSURFACES authKW 153442 1% 89% 8
8 TANGENTIAL CAUCHY RIEMANN EQUATION authKW 125541 1% 73% 8
9 CR GEOMETRY authKW 118668 1% 50% 11
10 PROPER HOLOMORPHIC MAPPINGS authKW 118668 1% 50% 11

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 74939 98% 0% 1382
2 Mathematics, Applied 2343 17% 0% 242
3 Physics, Mathematical 1 1% 0% 14
4 Multidisciplinary Sciences 1 0% 0% 6
5 Criminology & Penology -0 0% 0% 1
6 Computer Science, Software Engineering -5 0% 0% 1
7 Physics, Particles & Fields -11 0% 0% 2
8 Mechanics -14 0% 0% 1
9 Cardiac & Cardiovascular System -18 0% 0% 1
10 Astronomy & Astrophysics -19 0% 0% 2

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 MATH R HAEL SALEM 29844 1% 8% 18
2 RVCE POST 28769 0% 67% 2
3 ARITHMET GEOMETR ANAL TOPOL 21578 0% 100% 1
4 ARITHMET GEOMETRIE ANALYSE TOPOL 21578 0% 100% 1
5 CHEONGNYANGNI 2 DONG 21578 0% 100% 1
6 CMI ANAL TOPOL PROBABILITES 21578 0% 100% 1
7 DEOT MATH SCI 21578 0% 100% 1
8 LAGAT 21578 0% 100% 1
9 LAHRSTUHL ZAHLENTHEORIE 21578 0% 100% 1
10 LAMAV ISTV 21578 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 JOURNAL OF GEOMETRIC ANALYSIS 72022 4% 6% 55
2 MATHEMATISCHE ANNALEN 25793 5% 2% 75
3 MATHEMATISCHE ZEITSCHRIFT 22740 5% 1% 73
4 MICHIGAN MATHEMATICAL JOURNAL 18187 2% 2% 35
5 ARKIV FOR MATEMATIK 17814 2% 3% 25
6 MATHEMATICAL NOTES 15003 4% 1% 59
7 INDIANA UNIVERSITY MATHEMATICS JOURNAL 12360 3% 2% 37
8 DUKE MATHEMATICAL JOURNAL 10618 3% 1% 38
9 AMERICAN JOURNAL OF MATHEMATICS 8839 2% 2% 27
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8565 6% 0% 82

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 CR MANIFOLD 561196 4% 51% 51 Search CR+MANIFOLD Search CR+MANIFOLD
2 CR MAPPINGS 354072 1% 86% 19 Search CR+MAPPINGS Search CR+MAPPINGS
3 CR FUNCTIONS 316464 2% 67% 22 Search CR+FUNCTIONS Search CR+FUNCTIONS
4 CR SINGULARITY 215781 1% 100% 10 Search CR+SINGULARITY Search CR+SINGULARITY
5 ANALYTIC DISCS 173642 1% 62% 13 Search ANALYTIC+DISCS Search ANALYTIC+DISCS
6 FINITE JET DETERMINATION 172625 1% 100% 8 Search FINITE+JET+DETERMINATION Search FINITE+JET+DETERMINATION
7 LEVI FLAT HYPERSURFACES 153442 1% 89% 8 Search LEVI+FLAT+HYPERSURFACES Search LEVI+FLAT+HYPERSURFACES
8 TANGENTIAL CAUCHY RIEMANN EQUATION 125541 1% 73% 8 Search TANGENTIAL+CAUCHY+RIEMANN+EQUATION Search TANGENTIAL+CAUCHY+RIEMANN+EQUATION
9 CR GEOMETRY 118668 1% 50% 11 Search CR+GEOMETRY Search CR+GEOMETRY
10 PROPER HOLOMORPHIC MAPPINGS 118668 1% 50% 11 Search PROPER+HOLOMORPHIC+MAPPINGS Search PROPER+HOLOMORPHIC+MAPPINGS

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 MERKER, J , (2002) ON ENVELOPES OF HOLOMORPHY OF DOMAINS COVERED BY LEVI-FLAT HATS AND THE REFLECTION PRINCIPLE.ANNALES DE L INSTITUT FOURIER. VOL. 52. ISSUE 5. P. 1443 -+ 47 100% 2
2 ISAEV, A , (2011) SPHERICAL TUBE HYPERSURFACES.SPHERICAL TUBE HYPERSURFACES. VOL. 2020. ISSUE . P. 1 -217 34 87% 4
3 KIM, SY , ZAITSEV, D , (2015) RIGIDITY OF PROPER HOLOMORPHIC MAPS BETWEEN BOUNDED SYMMETRIC DOMAINS.MATHEMATISCHE ANNALEN. VOL. 362. ISSUE 1-2. P. 639 -677 28 90% 1
4 YUAN, Y , ZHANG, Y , (2016) CR SUBMANIFOLDS WITH VANISHING SECOND FUNDAMENTAL FORMS.GEOMETRIAE DEDICATA. VOL. 183. ISSUE 1. P. 169 -180 25 100% 0
5 EBENFELT, P , (2015) PROPER HOLOMORPHIC MAPPINGS INTO L-CONCAVE QUADRIC DOMAINS IN PROJECTIVE SPACE.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 64. ISSUE 3. P. 769 -785 24 100% 0
6 MEYLAN, F , MIR, N , ZAITSEV, D , (2002) ANALYTIC REGULARITY OF CR-MAPPINGS.MATHEMATICAL RESEARCH LETTERS. VOL. 9. ISSUE 1. P. 73-93 31 97% 5
7 BELOSHAPKA, VK , (2002) REAL SUBMANIFOLDS IN COMPLEX SPACE: POLYNOMIAL MODELS, AUTOMORPHISMS, AND CLASSIFICATION PROBLEMS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 57. ISSUE 1. P. 1 -41 29 100% 18
8 HUANG, XJ , YIN, WK , (2016) FLATTENING OF CR SINGULAR POINTS AND ANALYTICITY OF THE LOCAL HULL OF HOLOMORPHY I.MATHEMATISCHE ANNALEN. VOL. 365. ISSUE 1-2. P. 381 -399 19 100% 1
9 BAOUENDI, MS , EBENFELT, P , ROTHSCHILD, LP , (2000) LOCAL GEOMETRIC PROPERTIES OF REAL SUBMANIFOLDS IN COMPLEX SPACE.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 37. ISSUE 3. P. 309 -336 37 80% 35
10 OURIMI, N , (2015) EXTENSION OF CR MAPS BETWEEN REAL-ANALYTIC HYPERSURFACES OF DIFFERENT DIMENSIONS.COLLECTANEA MATHEMATICA. VOL. 66. ISSUE 2. P. 285 -295 21 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 5371 BERGMAN KERNEL//PSEUDOCONVEX DOMAIN//PARTIAL DERIVATIVE NEUMANN PROBLEM
2 27993 NONLINEAR RIEMANN HILBERT PROBLEMS//TOPOLOGICAL DEGREE THEORY OF MAPPINGS//ANALYTIC MULTIFUNCTIONS
3 36121 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//RADON INVERSION PROBLEM//WEAK RESOLVENT
4 15691 STEIN SPACE//STEIN MANIFOLD//OKA MANIFOLD
5 20129 ALMOST COMPLEX MANIFOLDS//ITERATES OF HOLOMORPHIC MAPPINGS//THE DENJOY WOLFF THEOREM
6 17525 COMPLEX VECTOR FIELDS//NON COMMUTATIVE HARMONIC OSCILLATOR//HYPOELLIPTICITY
7 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
8 14786 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
9 21755 SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP
10 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET

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