Class information for:
Level 1: FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1202 2788 19.9 38%


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
1202 1                   FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS 2788

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 FANO VARIETIES authKW 371261 2% 63% 54
2 ADJUNCTION THEORY authKW 361370 1% 100% 33
3 FANO MANIFOLDS authKW 334669 1% 75% 41
4 SECTIONAL GENUS authKW 263233 1% 96% 25
5 MINIMAL MODEL PROGRAM authKW 225913 1% 74% 28
6 AMPLE VECTOR BUNDLES authKW 222797 1% 88% 23
7 POLARIZED MANIFOLD authKW 209962 1% 91% 21
8 EXTREMAL RAY authKW 193085 1% 77% 23
9 BIRATIONAL RIGIDITY authKW 153308 1% 100% 14
10 MATHEMATICS WoSSC 152330 99% 1% 2765

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 152330 99% 1% 2765
2 Mathematics, Applied 1081 9% 0% 252
3 Multidisciplinary Sciences -3 0% 0% 3
4 Computer Science, Theory & Methods -6 0% 0% 9
5 Mechanics -8 1% 0% 16
6 Physics, Mathematical -12 0% 0% 5
7 Physics, Particles & Fields -27 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 DIPARTIMENTO MATEMAT F ENRIQUES 53476 1% 13% 37
2 FOURIER 30845 2% 6% 47
3 UMR 5582 28842 1% 8% 32
4 MATH 25299 36% 0% 998
5 DPMMS 23849 1% 9% 24
6 CMA MATH 21901 0% 100% 2
7 COURSE MATH 19709 0% 60% 3
8 EQUIPE TOPOL GEOMETRIE ALGEBR 17131 0% 26% 6
9 DIPARTIMENTO MATEMAT 16495 5% 1% 145
10 LMNS 15192 0% 14% 10

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 ALGEBRAIC GEOMETRY 131016 3% 15% 78
2 MATHEMATISCHE ANNALEN 61867 6% 3% 163
3 COMPOSITIO MATHEMATICA 47377 4% 4% 103
4 MANUSCRIPTA MATHEMATICA 40020 4% 3% 109
5 MATHEMATISCHE ZEITSCHRIFT 31147 4% 2% 120
6 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 30877 4% 3% 101
7 NAGOYA MATHEMATICAL JOURNAL 23442 2% 4% 51
8 INVENTIONES MATHEMATICAE 23418 3% 3% 82
9 INTERNATIONAL JOURNAL OF MATHEMATICS 23322 2% 4% 58
10 ADVANCES IN GEOMETRY 21465 1% 6% 34

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 FANO VARIETIES 371261 2% 63% 54 Search FANO+VARIETIES Search FANO+VARIETIES
2 ADJUNCTION THEORY 361370 1% 100% 33 Search ADJUNCTION+THEORY Search ADJUNCTION+THEORY
3 FANO MANIFOLDS 334669 1% 75% 41 Search FANO+MANIFOLDS Search FANO+MANIFOLDS
4 SECTIONAL GENUS 263233 1% 96% 25 Search SECTIONAL+GENUS Search SECTIONAL+GENUS
5 MINIMAL MODEL PROGRAM 225913 1% 74% 28 Search MINIMAL+MODEL+PROGRAM Search MINIMAL+MODEL+PROGRAM
6 AMPLE VECTOR BUNDLES 222797 1% 88% 23 Search AMPLE+VECTOR+BUNDLES Search AMPLE+VECTOR+BUNDLES
7 POLARIZED MANIFOLD 209962 1% 91% 21 Search POLARIZED+MANIFOLD Search POLARIZED+MANIFOLD
8 EXTREMAL RAY 193085 1% 77% 23 Search EXTREMAL+RAY Search EXTREMAL+RAY
9 BIRATIONAL RIGIDITY 153308 1% 100% 14 Search BIRATIONAL+RIGIDITY Search BIRATIONAL+RIGIDITY
10 TERMINAL SINGULARITY 121297 0% 92% 12 Search TERMINAL+SINGULARITY Search TERMINAL+SINGULARITY

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 CHEL'TSOV, I , (2005) BIRATIONALLY RIGID FANO VARIETIES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 60. ISSUE 5. P. 875 -965 60 75% 20
2 PUKHLIKOV, AV , (2015) BIRATIONAL GEOMETRY OF HIGHER-DIMENSIONAL FANO VARIETIES.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 288. ISSUE . P. S1 -S150 36 100% 0
3 KACHI, Y , SATO, E , (2002) SEGRE'S REFLEXIVITY AND AN INDUCTIVE CHARACTERIZATION OF HYPERQUADRICS - INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 160. ISSUE 763. P. 1-+ 50 86% 0
4 BERTOLINI, M , TURRINI, C , (2015) THREEFOLDS IN P-6 OF DEGREE 12.ADVANCES IN GEOMETRY. VOL. 15. ISSUE 2. P. 245 -262 30 97% 0
5 PRZYJALKOWSKI, VV , CHELTSOV, IA , SHRAMOV, KA , (2005) HYPERELLIPTIC AND TRIGONAL FANO THREEFOLDS.IZVESTIYA MATHEMATICS. VOL. 69. ISSUE 2. P. 365-421 40 93% 1
6 CHEN, JKA , HACON, CD , (2011) FACTORING 3-FOLD FLIPS AND DIVISORIAL CONTRACTIONS TO CURVES.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 657. ISSUE . P. 173 -197 30 100% 5
7 FUJINO, O , GONGYO, Y , (2014) LOG PLURICANONICAL REPRESENTATIONS AND THE ABUNDANCE CONJECTURE.COMPOSITIO MATHEMATICA. VOL. 150. ISSUE 4. P. 593 -620 27 100% 5
8 PUKHLIKOV, AV , (2007) BIRATIONALLY RIGID VARIETIES. I. FANO VARIETIES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 62. ISSUE 5. P. 857 -942 33 100% 4
9 BOUCKSOM, S , DEMAILLY, JP , PAUN, M , PETERNELL, T , (2013) THE PSEUDO-EFFECTIVE CONE OF A COMPACT KAHLER MANIFOLD AND VARIETIES OF NEGATIVE KODAIRA DIMENSION.JOURNAL OF ALGEBRAIC GEOMETRY. VOL. 22. ISSUE 2. P. 201 -248 25 86% 50
10 DEMAILLY, JP , HACON, CD , PAUN, M , (2013) EXTENSION THEOREMS, NON-VANISHING AND THE EXISTENCE OF GOOD MINIMAL MODELS.ACTA MATHEMATICA. VOL. 210. ISSUE 2. P. 203-259 29 88% 12

Classes with closest relation at Level 1


Rank Class id link
1 18009 SURFACES OF GENERAL TYPE//LEHRSTUHL MATH 8//SURFACE OF GENERAL TYPE
2 17064 INSTANTON BUNDLES//ULRICH BUNDLES//GLOBALLY GENERATED
3 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
4 27516 HOPF MANIFOLDS//GLOBAL RESOLUTIONS//SPIN7 INSTANTON
5 14561 FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT
6 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
7 15316 TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY
8 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
9 9153 KAHLER METRICS//KAHLER EINSTEIN METRIC//BALANCED METRICS
10 7888 DERIVED CATEGORY//EXCEPTIONAL COLLECTION//FOURIER MUKAI TRANSFORM

Go to start page