Class information for:
Level 2: MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
507 15257 18.9 39%


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
6160 1                   HIGGS BUNDLES//PARABOLIC BUNDLE//PRINCIPAL BUNDLE 1520
7151 1                   GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS 1400
7735 1                   BRILL NOETHER THEORY//GONALITY//LINEAR SERIES 1334
7763 1                   HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY 1331
7888 1                   DERIVED CATEGORY//EXCEPTIONAL COLLECTION//FOURIER MUKAI TRANSFORM 1317
9983 1                   K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR 1101
11480 1                   INTERSECTION HOMOLOGY//ALGEBRAIC CYCLES//CHOW GROUPS 979
13113 1                   HOLOMORPHIC FOLIATION//ANALYTIC CLASSIFICATION//LOTKA VOLTERRA DERIVATION 859
14561 1                   FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT 763
17064 1                   INSTANTON BUNDLES//ULRICH BUNDLES//GLOBALLY GENERATED 619
18009 1                   SURFACES OF GENERAL TYPE//LEHRSTUHL MATH 8//SURFACE OF GENERAL TYPE 571
25858 1                   RECIPROCITY LAWS//CONTOU CARRERE SYMBOL//HIGHER ADELES 270
27516 1                   HOPF MANIFOLDS//GLOBAL RESOLUTIONS//SPIN7 INSTANTON 227
35025 1                   VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE 103
36702 1                   COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET 75

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 MATHEMATICS WoSSC 775970 96% 3% 14608
2 JOURNAL OF ALGEBRAIC GEOMETRY journal 333046 2% 57% 291
3 MODULI SPACE authKW 283964 2% 47% 300
4 K3 SURFACE authKW 190073 1% 67% 143
5 VECTOR BUNDLES authKW 178797 1% 51% 177
6 MATHEMATISCHE ANNALEN journal 173928 4% 14% 640
7 HILBERT SCHEME authKW 167582 1% 74% 114
8 COMPOSITIO MATHEMATICA journal 163600 3% 18% 448
9 MATH address 156219 38% 1% 5789
10 HOLOMORPHIC FOLIATION authKW 137695 1% 73% 95

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 775970 96% 3% 14608
2 Mathematics, Applied 18474 15% 1% 2264
3 Physics, Mathematical 747 3% 0% 407
4 Computer Science, Theory & Methods -5 1% 0% 89
5 History & Philosophy of Science -13 0% 0% 3
6 Ethics -15 0% 0% 1
7 Multidisciplinary Sciences -18 0% 0% 15
8 Humanities, Multidisciplinary -18 0% 0% 1
9 Physics, Particles & Fields -23 1% 0% 97
10 Philosophy -35 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 156219 38% 1% 5789
2 DIPARTIMENTO MATEMAT 88784 5% 6% 787
3 ALGEBRA GEOMETRIA 60749 1% 31% 97
4 LEHRSTUHL MATH 8 57725 0% 76% 38
5 ALGEBRA GEOMETRIE 37638 0% 28% 68
6 FOURIER 31312 1% 14% 111
7 MATEMAT 30243 4% 2% 677
8 DIPARTIMENTO MATEMAT F ENRIQUES 22304 0% 20% 56
9 UMR 5582 20348 0% 16% 63
10 MATH SCI 14847 5% 1% 814

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 333046 2% 57% 291
2 MATHEMATISCHE ANNALEN 173928 4% 14% 640
3 COMPOSITIO MATHEMATICA 163600 3% 18% 448
4 INTERNATIONAL JOURNAL OF MATHEMATICS 124903 2% 20% 314
5 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 108865 3% 12% 444
6 MANUSCRIPTA MATHEMATICA 108849 3% 13% 421
7 INVENTIONES MATHEMATICAE 80057 2% 11% 355
8 MATHEMATISCHE ZEITSCHRIFT 78691 3% 9% 447
9 DUKE MATHEMATICAL JOURNAL 64541 2% 11% 308
10 JOURNAL OF PURE AND APPLIED ALGEBRA 62272 3% 7% 428

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 MODULI SPACE 283964 2% 47% 300 Search MODULI+SPACE Search MODULI+SPACE
2 K3 SURFACE 190073 1% 67% 143 Search K3+SURFACE Search K3+SURFACE
3 VECTOR BUNDLES 178797 1% 51% 177 Search VECTOR+BUNDLES Search VECTOR+BUNDLES
4 HILBERT SCHEME 167582 1% 74% 114 Search HILBERT+SCHEME Search HILBERT+SCHEME
5 HOLOMORPHIC FOLIATION 137695 1% 73% 95 Search HOLOMORPHIC+FOLIATION Search HOLOMORPHIC+FOLIATION
6 SECANT VARIETIES 110203 0% 88% 63 Search SECANT+VARIETIES Search SECANT+VARIETIES
7 HILBERT FUNCTION 109769 1% 55% 100 Search HILBERT+FUNCTION Search HILBERT+FUNCTION
8 FAT POINTS 102113 0% 96% 53 Search FAT+POINTS Search FAT+POINTS
9 HIGGS BUNDLES 88963 0% 78% 57 Search HIGGS+BUNDLES Search HIGGS+BUNDLES
10 FANO VARIETIES 86475 0% 71% 61 Search FANO+VARIETIES Search FANO+VARIETIES

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 BAYER, A , MACRI, E , (2014) MMP FOR MODULI OF SHEAVES ON K3S VIA WALL-CROSSING: NEF AND MOVABLE CONES, LAGRANGIAN FIBRATIONS.INVENTIONES MATHEMATICAE. VOL. 198. ISSUE 3. P. 505 -590 54 100% 12
2 CHEL'TSOV, I , (2005) BIRATIONALLY RIGID FANO VARIETIES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 60. ISSUE 5. P. 875 -965 71 89% 20
3 BAYER, A , MACRI, E , (2014) PROJECTIVITY AND BIRATIONAL GEOMETRY OF BRIDGELAND MODULI SPACES.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 27. ISSUE 3. P. 707 -752 42 95% 11
4 CHELTSOV, IA , (2004) BIRATIONALLY SUPERRIGID CYCLIC TRIPLE SPACES.IZVESTIYA MATHEMATICS. VOL. 68. ISSUE 6. P. 1229-1275 68 83% 3
5 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-+ 57 98% 0
6 ABRAMOVICH, D , FANTECHI, B , (2016) ORBIFOLD TECHNIQUES IN DEGENERATION FORMULAS.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 16. ISSUE 2. P. 519 -579 39 93% 0
7 SAWON, J , (2016) MODULI SPACES OF SHEAVES ON K3 SURFACES.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 109. ISSUE . P. 68 -82 36 100% 0
8 FANG, BH , LIU, CCM , ZONG, ZY , (2016) THE SYZ MIRROR SYMMETRY AND THE BKMP REMODELING CONJECTURE.ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 20. ISSUE 1. P. 165 -192 49 73% 0
9 BRAMBILLA, MC , FAENZI, D , (2011) MODULI SPACES OF RANK-2 ACM BUNDLES ON PRIME FANO THREEFOLDS.MICHIGAN MATHEMATICAL JOURNAL. VOL. 60. ISSUE 1. P. 113 -148 42 93% 3
10 TODA, Y , (2016) STABLE PAIR INVARIANTS ON CALABI-YAU THREEFOLDS CONTAINING P-2.GEOMETRY & TOPOLOGY. VOL. 20. ISSUE 1. P. 555 -611 38 93% 0

Classes with closest relation at Level 2


Rank Class id link
1 2282 LOCAL COHOMOLOGY//MONOMIAL IDEALS//LOCAL COHOMOLOGY MODULES
2 1540 MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES
3 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
4 2083 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION
5 552 JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY
6 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
7 376 JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA
8 885 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
9 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
10 2945 MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY

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