Class information for:
Level 1: REAL ALGEBRAIC VARIETY//TRIQUADRIC//FEWNOMIALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19778 490 16.6 26%


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
19778 1                   REAL ALGEBRAIC VARIETY//TRIQUADRIC//FEWNOMIALS 490

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 REAL ALGEBRAIC VARIETY authKW 562776 3% 53% 17
2 TRIQUADRIC authKW 436212 1% 100% 7
3 FEWNOMIALS authKW 418894 2% 61% 11
4 REAL ALGEBRAIC SURFACES authKW 396845 2% 58% 11
5 VIRO METHOD authKW 320481 1% 86% 6
6 REAL ALGEBRAIC SET authKW 280413 2% 50% 9
7 SPECTRAL BUNDLE authKW 259648 1% 83% 5
8 ALGEBRAIC HOMOLOGY authKW 249264 1% 100% 4
9 CONTINUOUS RATIONAL MAP authKW 249264 1% 100% 4
10 INDEX ORIENTATION authKW 249264 1% 100% 4

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 24796 96% 0% 468
2 Mathematics, Applied 733 16% 0% 80
3 Computer Science, Theory & Methods 43 3% 0% 16
4 Multidisciplinary Sciences 16 1% 0% 6
5 Mathematical & Computational Biology 0 0% 0% 2
6 Statistics & Probability 0 1% 0% 3
7 Automation & Control Systems -1 0% 0% 1
8 Computer Science, Interdisciplinary Applications -2 0% 0% 1
9 Physics, Mathematical -2 0% 0% 1
10 Instruments & Instrumentation -3 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 E PICARD 117288 2% 24% 8
2 ISSTBUMR 6205 83087 0% 67% 2
3 ALGEBRAUAMUC3M 62316 0% 100% 1
4 CNRSUCBLINRIAECOLE NORMALE SUPER LYON 62316 0% 100% 1
5 DIPARTIMENTO MET MODELLI MATEMAT SCI 62316 0% 100% 1
6 E PICARDUMR 5580 62316 0% 100% 1
7 FR 2962 62316 0% 100% 1
8 IT INFORMAT SISTEMAS 62316 0% 100% 1
9 PROJET ANALYSE ALGEBR 62316 0% 100% 1
10 UMR ENS LYON 5668 62316 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 IZVESTIYA MATHEMATICS 20089 3% 2% 17
2 COMMENTARII MATHEMATICI HELVETICI 9597 3% 1% 14
3 LECTURE NOTES IN MATHEMATICS 6804 6% 0% 28
4 MATHEMATICS OF THE USSR-IZVESTIYA 4557 1% 1% 6
5 JOURNAL OF ALGEBRAIC GEOMETRY 4404 1% 1% 6
6 GEOMETRIAE DEDICATA 4065 3% 0% 14
7 MATHEMATISCHE ZEITSCHRIFT 3982 4% 0% 18
8 RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS 3944 1% 2% 3
9 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 3586 2% 1% 10
10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 3370 3% 0% 14

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 REAL ALGEBRAIC VARIETY 562776 3% 53% 17 Search REAL+ALGEBRAIC+VARIETY Search REAL+ALGEBRAIC+VARIETY
2 TRIQUADRIC 436212 1% 100% 7 Search TRIQUADRIC Search TRIQUADRIC
3 FEWNOMIALS 418894 2% 61% 11 Search FEWNOMIALS Search FEWNOMIALS
4 REAL ALGEBRAIC SURFACES 396845 2% 58% 11 Search REAL+ALGEBRAIC+SURFACES Search REAL+ALGEBRAIC+SURFACES
5 VIRO METHOD 320481 1% 86% 6 Search VIRO+METHOD Search VIRO+METHOD
6 REAL ALGEBRAIC SET 280413 2% 50% 9 Search REAL+ALGEBRAIC+SET Search REAL+ALGEBRAIC+SET
7 SPECTRAL BUNDLE 259648 1% 83% 5 Search SPECTRAL+BUNDLE Search SPECTRAL+BUNDLE
8 ALGEBRAIC HOMOLOGY 249264 1% 100% 4 Search ALGEBRAIC+HOMOLOGY Search ALGEBRAIC+HOMOLOGY
9 CONTINUOUS RATIONAL MAP 249264 1% 100% 4 Search CONTINUOUS+RATIONAL+MAP Search CONTINUOUS+RATIONAL+MAP
10 INDEX ORIENTATION 249264 1% 100% 4 Search INDEX+ORIENTATION Search INDEX+ORIENTATION

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 KUCHARZ, W , (2011) ALGEBRAICITY OF CYCLES ON SMOOTH MANIFOLDS.SELECTA MATHEMATICA-NEW SERIES. VOL. 17. ISSUE 4. P. 855-878 41 100% 0
2 KUCHARZ, W , (2014) APPROXIMATION BY CONTINUOUS RATIONAL MAPS INTO SPHERES.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 16. ISSUE 8. P. 1555 -1569 16 100% 2
3 GHILONI, R , (2002) ALGEBRAIC OBSTRUCTIONS AND A COMPLETE SOLUTION OF A RATIONAL RETRACTION PROBLEM.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 130. ISSUE 12. P. 3525-3535 21 100% 1
4 KUCHARZ, W , (2008) HOMOLOGY CLASSES OF REAL ALGEBRAIC SETS.ANNALES DE L INSTITUT FOURIER. VOL. 58. ISSUE 3. P. 989-1022 16 94% 0
5 KUCHARZ, W , (2009) CYCLES ON NASH ALGEBRAIC MODELS OF SMOOTH MANIFOLDS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 137. ISSUE 6. P. 1899 -1906 13 100% 0
6 BRUGALLE, E , (2007) SYMMETRIC PLANE CURVES OF DEGREE 7: PSEUDOHOLOMORPHIC AND ALGEBRAIC CLASSIFICATIONS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 612. ISSUE . P. 129-171 16 84% 1
7 KUCHARZ, W , (2016) CONTINUOUS RATIONAL MAPS INTO SPHERES.MATHEMATISCHE ZEITSCHRIFT. VOL. 283. ISSUE 3-4. P. 1201 -1215 10 100% 1
8 KUCHARZ, W , (2002) ALGEBRAIC CYCLES AND ALGEBRAIC MODELS OF SMOOTH MANIFOLDS.JOURNAL OF ALGEBRAIC GEOMETRY. VOL. 11. ISSUE 1. P. 101-127 15 100% 7
9 KUCHARZ, W , (2009) RATIONAL MAPS IN REAL ALGEBRAIC GEOMETRY.ADVANCES IN GEOMETRY. VOL. 9. ISSUE 4. P. 517 -539 11 100% 5
10 KUCHARZ, W , (2009) CYCLES ON ALGEBRAIC MODELS OF SMOOTH MANIFOLDS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 11. ISSUE 2. P. 393-405 11 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 16040 WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES
2 12789 MATEMAT FUNDAMENTALES//KLEIN SURFACES//RIEMANN SURFACE
3 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
4 22485 UNIMODULAR ROWS//EULER CLASS GROUPS//CONSTRUCTIVE ALGEBRA
5 14561 FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT
6 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
7 17322 NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//HOMOTOPY CONTINUATION
8 30731 SMALE WILLIAMS SOLENOID//KOTELNIKOVS RADIOENGN ELECT//COVERING MOVE
9 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
10 36376 RADIATION TRANSFER EQUATION//FRESNEL INTERFACE CONDITIONS//FRESNEL MATCHING CONDITIONS

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