Class information for:
Level 2: LOCAL COHOMOLOGY//TIGHT CLOSURE//LOCAL COHOMOLOGY MODULES

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1116 9239 17.0 34%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
116 67192 MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY

Classes in level below (level 1)


ID, lev. below Publications Label for level below
6345 1431 REES ALGEBRA//ASSOCIATED GRADED RING//REDUCTION NUMBER
6969 1346 PRINCIPAL CURVATURE LINES//LIGHTCONE//UMBILIC POINT
9745 1059 O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL
10156 1023 INTERSECTION HOMOLOGY//BRIESKORN LATTICE//LEHRSTUHL MATH 6
13862 744 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
15121 661 RESOLUTION OF SINGULARITIES//NASH PROBLEM//DIVISORIAL VALUATIONS
15524 637 TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY
15659 629 SPACES OF ORDERINGS//ORDERINGS OF HIGHER LEVEL//SPECIAL GROUPS
17772 520 CHERN SCHWARTZ MACPHERSON CLASS//SINGULARITIES AT INFINITY//LOJASIEWICZ EXPONENT
18302 493 VIRO METHOD//SPECTRAL BUNDLE//TRIQUADRIC
21492 359 SURFACE SINGULARITY//RATIONAL HOMOLOGY SPHERE//UNIVERSAL ABELIAN COVER
25262 238 NASH SET//WHITNEY EXTENSION PROBLEM//WHITNEYS EXTENSION PROBLEM
33004 99 MAXIMALLY DIFFERENTIAL IDEALS//HASSE SCHMIDT DERIVATION//HIGHER DIFFERENTIAL ALGEBRA

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 LOCAL COHOMOLOGY Author keyword 254 76% 2% 180
2 TIGHT CLOSURE Author keyword 147 91% 1% 61
3 LOCAL COHOMOLOGY MODULES Author keyword 112 89% 1% 50
4 O MINIMALITY Author keyword 99 86% 1% 50
5 COFINITE MODULES Author keyword 76 100% 0% 24
6 GENERALIZED LOCAL COHOMOLOGY Author keyword 73 96% 0% 23
7 LOCAL COHOMOLOGY MODULE Author keyword 72 91% 0% 30
8 REES ALGEBRA Author keyword 66 69% 1% 56
9 O MINIMAL STRUCTURES Author keyword 59 78% 0% 39
10 ASSOCIATED PRIMES Author keyword 55 69% 1% 47

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 LOCAL COHOMOLOGY 254 76% 2% 180 Search LOCAL+COHOMOLOGY Search LOCAL+COHOMOLOGY
2 TIGHT CLOSURE 147 91% 1% 61 Search TIGHT+CLOSURE Search TIGHT+CLOSURE
3 LOCAL COHOMOLOGY MODULES 112 89% 1% 50 Search LOCAL+COHOMOLOGY+MODULES Search LOCAL+COHOMOLOGY+MODULES
4 O MINIMALITY 99 86% 1% 50 Search O+MINIMALITY Search O+MINIMALITY
5 COFINITE MODULES 76 100% 0% 24 Search COFINITE+MODULES Search COFINITE+MODULES
6 GENERALIZED LOCAL COHOMOLOGY 73 96% 0% 23 Search GENERALIZED+LOCAL+COHOMOLOGY Search GENERALIZED+LOCAL+COHOMOLOGY
7 LOCAL COHOMOLOGY MODULE 72 91% 0% 30 Search LOCAL+COHOMOLOGY+MODULE Search LOCAL+COHOMOLOGY+MODULE
8 REES ALGEBRA 66 69% 1% 56 Search REES+ALGEBRA Search REES+ALGEBRA
9 O MINIMAL STRUCTURES 59 78% 0% 39 Search O+MINIMAL+STRUCTURES Search O+MINIMAL+STRUCTURES
10 ASSOCIATED PRIMES 55 69% 1% 47 Search ASSOCIATED+PRIMES Search ASSOCIATED+PRIMES

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 TIGHT CLOSURE 266 96% 1% 80
2 REES ALGEBRAS 184 88% 1% 87
3 COFINITENESS 153 98% 0% 41
4 LOCAL RINGS 118 55% 2% 149
5 LOCAL COHOMOLOGY MODULES 99 87% 1% 48
6 MULTIPLIER IDEALS 95 81% 1% 58
7 FORM RINGS 93 100% 0% 28
8 MIXED MULTIPLICITIES 73 96% 0% 23
9 HILBERT COEFFICIENTS 72 93% 0% 27
10 O MINIMAL STRUCTURES 69 68% 1% 61

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 11 15% 1% 71
2 JOURNAL OF COMMUTATIVE ALGEBRA 11 24% 0% 41
3 JOURNAL OF ALGEBRAIC GEOMETRY 7 12% 1% 56
4 JOURNAL OF MATHEMATICAL LOGIC 2 14% 0% 11

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
The Hironaka theorem on resolution of singularities - (Or: A proof we always wanted to understand) 2003 41 34 94%
Topological properties of real algebraic varieties: du cote de chez Rokhlin 2000 27 26 73%
Integration with respect to the Euler characteristic and its applications 2010 1 37 81%
Mathematics and physics: mother and daughter or sisters? 1999 2 1 100%
Numerical control over complex analytic singularities 2003 0 41 93%
PHANTOM HOMOLOGY 1993 1 22 91%
SINGULARITIES OF SYSTEMS OF RAYS 1983 38 26 73%
REAL ALGEBRA AND ITS APPLICATIONS TO GEOMETRY IN THE LAST 10 YEARS - SOME MAJOR DEVELOPMENTS AND RESULTS 1992 0 75 84%
APPLICATIONS OF MODEL-THEORY TO REAL ALGEBRAIC-GEOMETRY - A SURVEY 1985 5 11 100%
DETERMINANTAL RINGS 1988 1 38 63%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 LEHRSTUHL MATH 6 18 83% 0.1% 10
2 GRP MATH SCI 9 83% 0.1% 5
3 ALGEBRA GEOMETRIA 8 16% 0.5% 46
4 WISKUNDE 8 15% 0.5% 45
5 EQUIPE GEOMETRIE DYNAM 7 37% 0.2% 16
6 F CIENCIAS MATEMAT 6 80% 0.0% 4
7 ALGEBRA GEOMETRY TOPOL 6 39% 0.1% 12
8 PAINLEVE 6 33% 0.2% 14
9 ECONOINFORMAT 5 63% 0.1% 5
10 E PICARD 4 32% 0.1% 11

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000019482 JOURNAL OF ALGEBRAIC GEOMETRY//HILBERT SCHEME//FAT POINTS
2 0.0000018224 STANLEY DEPTH//FROBENIUS NUMBER//MONOMIAL IDEALS
3 0.0000013631 JOURNAL OF SYMBOLIC COMPUTATION//IMPLICITIZATION//MU BASIS
4 0.0000010603 COMPLEX MONGE AMPERE OPERATOR//JACOBIAN CONJECTURE//PLURISUBHARMONIC FUNCTION
5 0.0000007748 COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA//EXCHANGE RING
6 0.0000007729 LOGIC//JOURNAL OF SYMBOLIC LOGIC//ANNALS OF PURE AND APPLIED LOGIC
7 0.0000006238 MULTISUMMABILITY//BOREL SUMMABILITY//ULTRADIFFERENTIABLE FUNCTIONS
8 0.0000006050 HOMOLOGY HOMOTOPY AND APPLICATIONS//DEFORMATION QUANTIZATION//JOURNAL OF HOMOTOPY AND RELATED STRUCTURES
9 0.0000006014 JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//IWASAWA THEORY
10 0.0000005411 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VIRTUAL KNOT//JONES POLYNOMIAL