Class information for:
Level 1: FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14561 763 17.0 45%


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
507 2             MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE 15257
14561 1                   FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT 763

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 FAT POINTS authKW 1539615 6% 84% 46
2 SECANT VARIETIES authKW 1502897 7% 72% 52
3 SESHADRI CONSTANT authKW 569285 3% 68% 21
4 SYMBOLIC POWERS authKW 463061 2% 64% 18
5 WARING RANK authKW 360169 1% 100% 9
6 BORDER RANK authKW 322812 1% 73% 11
7 SYMMETRIC TENSOR RANK authKW 270122 1% 75% 9
8 VERONESE VARIETY authKW 230495 2% 48% 12
9 NAGATA CONJECTURE authKW 200094 1% 100% 5
10 TENSOR RANK authKW 192733 2% 28% 17

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 39181 96% 0% 734
2 Mathematics, Applied 4098 30% 0% 226
3 Computer Science, Theory & Methods 28 2% 0% 18
4 Multidisciplinary Sciences -1 0% 0% 1
5 Physics, Mathematical -1 0% 0% 3
6 Computer Science, Information Systems -3 0% 0% 1
7 Computer Science, Artificial Intelligence -3 0% 0% 1
8 Computer Science, Interdisciplinary Applications -4 0% 0% 1
9 Physics, Multidisciplinary -11 0% 0% 2
10 Engineering, Electrical & Electronic -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 DIPTEM DIPARTIMENTO INGN PROD TERMOENERGET MODE 160075 1% 100% 4
2 GALAAD 64816 1% 18% 9
3 PROJECT GALAAD 53357 0% 67% 2
4 CIRAM 50529 2% 11% 12
5 A CL P 415 40019 0% 100% 1
6 ALEGBRA GEOMETRIA 40019 0% 100% 1
7 CIRM FBK 40019 0% 100% 1
8 D MATEMAT 40019 0% 100% 1
9 DHES 40019 0% 100% 1
10 DIME DIPARTIMENTO INGN MECCAN ENERGET GESTIONALE 40019 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 PURE AND APPLIED ALGEBRA 45048 11% 1% 81
2 COLLECTANEA MATHEMATICA 22979 2% 4% 13
3 JOURNAL OF ALGEBRAIC GEOMETRY 22734 2% 3% 17
4 JOURNAL OF ALGEBRA 13753 9% 1% 67
5 ADVANCES IN GEOMETRY 9777 2% 2% 12
6 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 6278 5% 0% 38
7 COMMUNICATIONS IN ALGEBRA 6254 5% 0% 39
8 LINEAR ALGEBRA AND ITS APPLICATIONS 5246 5% 0% 39
9 ANNALI DI MATEMATICA PURA ED APPLICATA 4003 2% 1% 12
10 MATHEMATISCHE ANNALEN 3730 3% 0% 21

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 FAT POINTS 1539615 6% 84% 46 Search FAT+POINTS Search FAT+POINTS
2 SECANT VARIETIES 1502897 7% 72% 52 Search SECANT+VARIETIES Search SECANT+VARIETIES
3 SESHADRI CONSTANT 569285 3% 68% 21 Search SESHADRI+CONSTANT Search SESHADRI+CONSTANT
4 SYMBOLIC POWERS 463061 2% 64% 18 Search SYMBOLIC+POWERS Search SYMBOLIC+POWERS
5 WARING RANK 360169 1% 100% 9 Search WARING+RANK Search WARING+RANK
6 BORDER RANK 322812 1% 73% 11 Search BORDER+RANK Search BORDER+RANK
7 SYMMETRIC TENSOR RANK 270122 1% 75% 9 Search SYMMETRIC+TENSOR+RANK Search SYMMETRIC+TENSOR+RANK
8 VERONESE VARIETY 230495 2% 48% 12 Search VERONESE+VARIETY Search VERONESE+VARIETY
9 NAGATA CONJECTURE 200094 1% 100% 5 Search NAGATA+CONJECTURE Search NAGATA+CONJECTURE
10 TENSOR RANK 192733 2% 28% 17 Search TENSOR+RANK Search TENSOR+RANK

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 HANUMANTHU, K , (2016) POSITIVITY OF LINE BUNDLES ON GENERAL BLOW UPS OF P-2.JOURNAL OF ALGEBRA. VOL. 461. ISSUE . P. 65 -86 27 82% 0
2 GIMIGLIANO, A , HARBOURNE, B , IDA, M , (2009) BETTI NUMBERS FOR FAT POINT IDEALS IN THE PLANE: A GEOMETRIC APPROACH.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 361. ISSUE 2. P. 1103 -1127 24 89% 2
3 LAHYANE, M , (2010) ON THE FINITE GENERATION OF THE EFFECTIVE MONOID OF RATIONAL SURFACES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 214. ISSUE 7. P. 1217-1240 24 83% 1
4 BALLICO, E , (2012) ON THE DEFECTIVITY OF THE COMPLETE EMBEDDINGS OF A SMOOTH 3-DIMENSIONAL QUADRIC.ADVANCES IN GEOMETRY. VOL. 12. ISSUE 3. P. 501-508 19 95% 0
5 DUMNICKI, M , (2009) AN ALGORITHM TO BOUND THE REGULARITY AND NONEMPTINESS OF LINEAR SYSTEMS IN P-N.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 44. ISSUE 10. P. 1448-1462 19 100% 5
6 BALLICO, E , DUMITRESCU, O , POSTINGHEL, E , (2016) ON SEGRE'S BOUND FOR FAT POINTS IN P-N.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 6. P. 2307 -2323 15 100% 1
7 MONSERRAT, F , (2007) CURVES HAVING ONE PLACE AT INFINITY AND LINEAR SYSTEMS ON RATIONAL SURFACES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 211. ISSUE 3. P. 685 -701 24 80% 3
8 BRAMBILLA, MC , DUMITRESCU, O , POSTINGHEL, E , (2016) ON LINEAR SYSTEMS OF P-3 WITH NINE BASE POINTS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 195. ISSUE 5. P. 1551 -1574 18 86% 0
9 DALEO, NS , HAUENSTEIN, JD , OEDING, L , (2016) COMPUTATIONS AND EQUATIONS FOR SEGRE-GRASSMANN HYPERSURFACES.PORTUGALIAE MATHEMATICA. VOL. 73. ISSUE 1. P. 71 -90 20 77% 0
10 BOCCI, C , HARBOURNE, B , (2010) COMPARING POWERS AND SYMBOLIC POWERS OF IDEALS.JOURNAL OF ALGEBRAIC GEOMETRY. VOL. 19. ISSUE 3. P. 399 -417 20 80% 33

Classes with closest relation at Level 1


Rank Class id link
1 7763 HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY
2 7735 BRILL NOETHER THEORY//GONALITY//LINEAR SERIES
3 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
4 8093 CANDECOMP//TENSOR DECOMPOSITION//NONNEGATIVE TENSOR
5 27012 TRIANGLE COUNTING//TRIANGLE LISTING//QUADRATIC ALGORITHMS
6 1202 FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS
7 17064 INSTANTON BUNDLES//ULRICH BUNDLES//GLOBALLY GENERATED
8 6843 REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE
9 19778 REAL ALGEBRAIC VARIETY//TRIQUADRIC//FEWNOMIALS
10 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS

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