Class information for:
Level 1: RESOLUTION OF SINGULARITIES//NASH PROBLEM//DIVISORIAL VALUATIONS

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
15121 661 17.7 32%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
1116 9239 LOCAL COHOMOLOGY//TIGHT CLOSURE//LOCAL COHOMOLOGY MODULES

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 RESOLUTION OF SINGULARITIES Author keyword 22 41% 6% 42
2 NASH PROBLEM Author keyword 14 100% 1% 7
3 DIVISORIAL VALUATIONS Author keyword 11 100% 1% 6
4 QUASI ORDINARY SINGULARITY Author keyword 9 83% 1% 5
5 ARC SPACES Author keyword 8 75% 1% 6
6 QUASI ORDINARY SINGULARITIES Author keyword 8 75% 1% 6
7 DESINGULARIZATION INVARIANT Author keyword 8 100% 1% 5
8 DICRITICAL DIVISOR Author keyword 8 100% 1% 5
9 JET SCHEMES Author keyword 7 64% 1% 7
10 SPACE OF ARCS Author keyword 6 80% 1% 4

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 RESOLUTION OF SINGULARITIES 22 41% 6% 42 Search RESOLUTION+OF+SINGULARITIES Search RESOLUTION+OF+SINGULARITIES
2 NASH PROBLEM 14 100% 1% 7 Search NASH+PROBLEM Search NASH+PROBLEM
3 DIVISORIAL VALUATIONS 11 100% 1% 6 Search DIVISORIAL+VALUATIONS Search DIVISORIAL+VALUATIONS
4 QUASI ORDINARY SINGULARITY 9 83% 1% 5 Search QUASI+ORDINARY+SINGULARITY Search QUASI+ORDINARY+SINGULARITY
5 ARC SPACES 8 75% 1% 6 Search ARC+SPACES Search ARC+SPACES
6 QUASI ORDINARY SINGULARITIES 8 75% 1% 6 Search QUASI+ORDINARY+SINGULARITIES Search QUASI+ORDINARY+SINGULARITIES
7 DESINGULARIZATION INVARIANT 8 100% 1% 5 Search DESINGULARIZATION+INVARIANT Search DESINGULARIZATION+INVARIANT
8 DICRITICAL DIVISOR 8 100% 1% 5 Search DICRITICAL+DIVISOR Search DICRITICAL+DIVISOR
9 JET SCHEMES 7 64% 1% 7 Search JET+SCHEMES Search JET+SCHEMES
10 SPACE OF ARCS 6 80% 1% 4 Search SPACE+OF+ARCS Search SPACE+OF+ARCS

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 DESINGULARIZATION 34 56% 6% 42
2 HIRONAKA RESOLUTION 32 85% 3% 17
3 CHARACTERISTIC ZERO 26 40% 8% 50
4 POLAR INVARIANTS 22 81% 2% 13
5 MAXIMAL CONTACT 21 90% 1% 9
6 SANDWICHED SINGULARITIES 21 90% 1% 9
7 JET SCHEMES 15 67% 2% 14
8 GOOD POINTS 15 82% 1% 9
9 PLANE CURVE SINGULARITY 15 88% 1% 7
10 GENERALIZED TSCHIRNHAUSEN TRANSFORMATION 14 55% 3% 18

Journals

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 88%
Integration with respect to the Euler characteristic and its applications 2010 1 37 62%

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 ALGEBRA GEOMETRY TOPOL 5 35% 1.7% 11
2 DEP ALGEBRA GEOMETRIA TOPOL 4 75% 0.5% 3
3 LMV UMR 8100 2 43% 0.5% 3
4 DPTO ALGEBRA GEOMETRIA 1 100% 0.3% 2
5 IMUVA INVEST MATEMAT 1 50% 0.3% 2
6 MATH LMV 1 100% 0.3% 2
7 UMR MIG 5219 1 100% 0.3% 2
8 EQUIPE GEOMETRIE DYNAM 1 16% 1.1% 7
9 MATEMAT LICADA TECN 1 30% 0.5% 3
10 EQUIPE GEOMETRIE DYNAMUMR 7586 1 40% 0.3% 2

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000208528 NASH SET//WHITNEY EXTENSION PROBLEM//WHITNEYS EXTENSION PROBLEM
2 0.0000197262 CHERN SCHWARTZ MACPHERSON CLASS//SINGULARITIES AT INFINITY//LOJASIEWICZ EXPONENT
3 0.0000143291 SURFACE SINGULARITY//RATIONAL HOMOLOGY SPHERE//UNIVERSAL ABELIAN COVER
4 0.0000135975 INTERSECTION HOMOLOGY//BRIESKORN LATTICE//LEHRSTUHL MATH 6
5 0.0000113820 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//NUMERICAL SEMIGROUPS
6 0.0000107374 TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY
7 0.0000100389 HOLOMORPHIC FOLIATION//HOLOMORPHIC FOLIATIONS//REDUCTION OF SINGULARITIES
8 0.0000092123 REES ALGEBRA//ASSOCIATED GRADED RING//REDUCTION NUMBER
9 0.0000090868 MAXIMALLY DIFFERENTIAL IDEALS//HASSE SCHMIDT DERIVATION//HIGHER DIFFERENTIAL ALGEBRA
10 0.0000074125 HOLOMORPHIC SYMPLECTIC VARIETIES//DONALDSON THOMAS INVARIANTS//ARTIN STACK