Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 19959 | 482 | 18.3 | 27% |
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 |
| 19959 | 1 | RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT | 482 |
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 | RESOLUTION OF SINGULARITIES | authKW | 850214 | 8% | 36% | 37 |
| 2 | LOCAL UNIFORMIZATION | authKW | 388019 | 1% | 88% | 7 |
| 3 | DESINGULARIZATION INVARIANT | authKW | 316752 | 1% | 100% | 5 |
| 4 | DICRITICAL DIVISOR | authKW | 316752 | 1% | 100% | 5 |
| 5 | NASH SET | authKW | 285074 | 1% | 75% | 6 |
| 6 | COMPOSITE FUNCTION PROBLEM | authKW | 190051 | 1% | 100% | 3 |
| 7 | TOROIDALIZATION | authKW | 190051 | 1% | 100% | 3 |
| 8 | ALGEBRAS OF SMOOTH FUNCTIONS | authKW | 142537 | 1% | 75% | 3 |
| 9 | DICRITICAL | authKW | 142537 | 1% | 75% | 3 |
| 10 | FIBRED POWER | authKW | 126701 | 0% | 100% | 2 |
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 | 25443 | 98% | 0% | 470 |
| 2 | Mathematics, Applied | 1062 | 20% | 0% | 94 |
| 3 | Logic | 3 | 0% | 0% | 1 |
| 4 | Computer Science, Theory & Methods | 2 | 1% | 0% | 6 |
| 5 | Robotics | 1 | 0% | 0% | 1 |
| 6 | Multidisciplinary Sciences | -0 | 0% | 0% | 1 |
| 7 | Computer Science, Software Engineering | -1 | 0% | 0% | 1 |
| 8 | Computer Science, Artificial Intelligence | -1 | 0% | 0% | 1 |
| 9 | Physics, Mathematical | -2 | 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 | MATH LMV | 126701 | 0% | 100% | 2 |
| 2 | UMR MIG 5219 | 126701 | 0% | 100% | 2 |
| 3 | ABT AD T SYST | 63350 | 0% | 100% | 1 |
| 4 | ALG GEOMETRIE | 63350 | 0% | 100% | 1 |
| 5 | COMP SCI BGSMATH | 63350 | 0% | 100% | 1 |
| 6 | LAMA UMR 8100 CNRS | 63350 | 0% | 100% | 1 |
| 7 | MATEMAT LICADA F | 63350 | 0% | 100% | 1 |
| 8 | MATH PU FOURIER | 63350 | 0% | 100% | 1 |
| 9 | PL MATH IMUVA | 63350 | 0% | 100% | 1 |
| 10 | UMRC ARITHMET GEOMETRIE ALGEBRIQUE 8628 | 63350 | 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 ALGEBRA | 12635 | 11% | 0% | 51 |
| 2 | ASIAN JOURNAL OF MATHEMATICS | 11310 | 2% | 2% | 8 |
| 3 | JOURNAL OF ALGEBRAIC GEOMETRY | 7965 | 2% | 2% | 8 |
| 4 | JOURNAL OF PURE AND APPLIED ALGEBRA | 6767 | 5% | 0% | 25 |
| 5 | MATHEMATISCHE ANNALEN | 5376 | 4% | 0% | 20 |
| 6 | REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 4341 | 1% | 1% | 5 |
| 7 | ANNALES DE L INSTITUT FOURIER | 3515 | 2% | 1% | 11 |
| 8 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 3370 | 6% | 0% | 30 |
| 9 | MANUSCRIPTA MATHEMATICA | 3285 | 3% | 0% | 13 |
| 10 | PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 3222 | 2% | 1% | 8 |
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 | RESOLUTION OF SINGULARITIES | 850214 | 8% | 36% | 37 | Search RESOLUTION+OF+SINGULARITIES | Search RESOLUTION+OF+SINGULARITIES |
| 2 | LOCAL UNIFORMIZATION | 388019 | 1% | 88% | 7 | Search LOCAL+UNIFORMIZATION | Search LOCAL+UNIFORMIZATION |
| 3 | DESINGULARIZATION INVARIANT | 316752 | 1% | 100% | 5 | Search DESINGULARIZATION+INVARIANT | Search DESINGULARIZATION+INVARIANT |
| 4 | DICRITICAL DIVISOR | 316752 | 1% | 100% | 5 | Search DICRITICAL+DIVISOR | Search DICRITICAL+DIVISOR |
| 5 | NASH SET | 285074 | 1% | 75% | 6 | Search NASH+SET | Search NASH+SET |
| 6 | COMPOSITE FUNCTION PROBLEM | 190051 | 1% | 100% | 3 | Search COMPOSITE+FUNCTION+PROBLEM | Search COMPOSITE+FUNCTION+PROBLEM |
| 7 | TOROIDALIZATION | 190051 | 1% | 100% | 3 | Search TOROIDALIZATION | Search TOROIDALIZATION |
| 8 | ALGEBRAS OF SMOOTH FUNCTIONS | 142537 | 1% | 75% | 3 | Search ALGEBRAS+OF+SMOOTH+FUNCTIONS | Search ALGEBRAS+OF+SMOOTH+FUNCTIONS |
| 9 | DICRITICAL | 142537 | 1% | 75% | 3 | Search DICRITICAL | Search DICRITICAL |
| 10 | FIBRED POWER | 126701 | 0% | 100% | 2 | Search FIBRED+POWER | Search FIBRED+POWER |
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 | CUTKOSKY, SD , (2016) RAMIFICATION OF VALUATIONS AND LOCAL RINGS IN POSITIVE CHARACTERISTIC.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 7. P. 2828 -2866 | 19 | 100% | 0 |
| 2 | BENITO, A , VILLAMAYOR, OE , (2012) TECHNIQUES FOR THE STUDY OF SINGULARITIES WITH APPLICATIONS TO RESOLUTION OF 2-DIMENSIONAL SCHEMES.MATHEMATISCHE ANNALEN. VOL. 353. ISSUE 3. P. 1037-1068 | 20 | 100% | 2 |
| 3 | BENITO, A , ENCINAS, S , VILLAMAYOR, OE , (2011) SOME NATURAL PROPERTIES OF CONSTRUCTIVE RESOLUTION OF SINGULARITIES.ASIAN JOURNAL OF MATHEMATICS. VOL. 15. ISSUE 2. P. 141 -191 | 20 | 100% | 1 |
| 4 | BENITO, A , VILLAMAYOR, OE , (2015) ON ELIMINATION OF VARIABLES IN THE STUDY OF SINGULARITIES IN POSITIVE CHARACTERISTIC.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 64. ISSUE 2. P. 357 -410 | 18 | 95% | 0 |
| 5 | HAUSER, H , (2003) THE HIRONAKA THEOREM ON RESOLUTION OF SINGULARITIES - (OR: A PROOF WE ALWAYS WANTED TO UNDERSTAND).BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 40. ISSUE 3. P. 323 -403 | 27 | 79% | 42 |
| 6 | KAWANOUE, H , (2007) TOWARD RESOLUTION OF SINGULARITIES OVER A FIELD OF POSITIVE CHARACTERISTIC - PART 1. FOUNDATION; THE LANGUAGE OF THE IDEALISTIC FILTRATION.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 43. ISSUE 3. P. 819-909 | 20 | 95% | 18 |
| 7 | BRAVO, A , VILLAMAYOR, OE , (2011) ELIMINATION ALGEBRAS AND INDUCTIVE ARGUMENTS IN RESOLUTION OF SINGULARITIES.ASIAN JOURNAL OF MATHEMATICS. VOL. 15. ISSUE 3. P. 321-355 | 17 | 100% | 1 |
| 8 | BRAVO, A , VILLAMAYOR, O , (2010) SINGULARITIES IN POSITIVE CHARACTERISTIC, STRATIFICATION AND SIMPLIFICATION OF THE SINGULAR LOCUS.ADVANCES IN MATHEMATICS. VOL. 224. ISSUE 4. P. 1349-1418 | 16 | 100% | 11 |
| 9 | BRAVO, AM , ENCINAS, S , VILLAMAYOR, O , (2005) A SIMPLIFIED PROOF OF DESINGULARIZATION AND APPLICATIONS.REVISTA MATEMATICA IBEROAMERICANA. VOL. 21. ISSUE 2. P. 349-458 | 17 | 100% | 29 |
| 10 | BRAVO, A , GARCIA-ESCAMILLA, ML , VILLAMAYOR, OE , (2012) ON REES ALGEBRAS AND INVARIANTS FOR SINGULARITIES OVER PERFECT FIELDS.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 61. ISSUE 3. P. 1201-1251 | 18 | 82% | 2 |
Classes with closest relation at Level 1 |