Class information for:
Level 1: DERIVED CATEGORY//EXCEPTIONAL COLLECTION//FOURIER MUKAI TRANSFORM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7888 1317 21.9 42%


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
7888 1                   DERIVED CATEGORY//EXCEPTIONAL COLLECTION//FOURIER MUKAI TRANSFORM 1317

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 DERIVED CATEGORY authKW 381105 5% 23% 70
2 EXCEPTIONAL COLLECTION authKW 304544 1% 77% 17
3 FOURIER MUKAI TRANSFORM authKW 299109 2% 56% 23
4 HOLOMORPHIC SYMPLECTIC VARIETIES authKW 208655 1% 100% 9
5 MCKAY CORRESPONDENCE authKW 197046 1% 50% 17
6 HILBERT SCHEME authKW 183173 3% 23% 35
7 BRIDGELAND STABILITY CONDITIONS authKW 162287 1% 100% 7
8 MODULI SPACES OF SHEAVES authKW 156487 1% 75% 9
9 MODULI OF SHEAVES authKW 148374 1% 80% 8
10 BRIDGELAND STABILITY authKW 139103 0% 100% 6

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 63673 93% 0% 1230
2 Mathematics, Applied 1623 15% 0% 197
3 Physics, Mathematical 617 7% 0% 88
4 Physics, Particles & Fields 2 1% 0% 19
5 Mathematics, Interdisciplinary Applications -5 0% 0% 1
6 Statistics & Probability -6 0% 0% 1
7 Physics, Nuclear -8 0% 0% 2
8 Mechanics -13 0% 0% 1
9 Physics, Multidisciplinary -20 0% 0% 3

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 TODAI ADV STUDIES TODIAS 139103 0% 100% 6
2 ALGEBRA SECT 72215 1% 35% 9
3 J LERAY MATH 69552 0% 100% 3
4 ARBEITSGRP ALGEBRA TOPOL 46368 0% 100% 2
5 HBEREICH PHYS MATH INFORMAT 41393 0% 36% 5
6 ALGEBRA GEOMETRY ITS PLICAT 29804 0% 43% 3
7 ALGEBRA GEOMETRY SECT 24142 0% 21% 5
8 DIPARTIMENTO MATEMAT PLICAZ ARCHITECTURE 23184 0% 100% 1
9 DPARTEMENT MATHS 23184 0% 100% 1
10 HBEREICH MATH ANAL DIFFERENTIALGEOMETRIE 23184 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 ALGEBRAIC GEOMETRY 65830 3% 7% 38
2 COMMUNICATIONS IN NUMBER THEORY AND PHYSICS 28024 1% 9% 14
3 KYOTO JOURNAL OF MATHEMATICS 26585 1% 7% 16
4 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 21580 4% 2% 58
5 MATHEMATISCHE ANNALEN 21454 5% 1% 66
6 ADVANCES IN MATHEMATICS 17784 5% 1% 60
7 MATHEMATICAL RESEARCH LETTERS 16905 3% 2% 36
8 INTERNATIONAL JOURNAL OF MATHEMATICS 15996 3% 2% 33
9 MOSCOW MATHEMATICAL JOURNAL 13355 1% 3% 18
10 COMPOSITIO MATHEMATICA 12233 3% 1% 36

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 DERIVED CATEGORY 381105 5% 23% 70 Search DERIVED+CATEGORY Search DERIVED+CATEGORY
2 EXCEPTIONAL COLLECTION 304544 1% 77% 17 Search EXCEPTIONAL+COLLECTION Search EXCEPTIONAL+COLLECTION
3 FOURIER MUKAI TRANSFORM 299109 2% 56% 23 Search FOURIER+MUKAI+TRANSFORM Search FOURIER+MUKAI+TRANSFORM
4 HOLOMORPHIC SYMPLECTIC VARIETIES 208655 1% 100% 9 Search HOLOMORPHIC+SYMPLECTIC+VARIETIES Search HOLOMORPHIC+SYMPLECTIC+VARIETIES
5 MCKAY CORRESPONDENCE 197046 1% 50% 17 Search MCKAY+CORRESPONDENCE Search MCKAY+CORRESPONDENCE
6 HILBERT SCHEME 183173 3% 23% 35 Search HILBERT+SCHEME Search HILBERT+SCHEME
7 BRIDGELAND STABILITY CONDITIONS 162287 1% 100% 7 Search BRIDGELAND+STABILITY+CONDITIONS Search BRIDGELAND+STABILITY+CONDITIONS
8 MODULI SPACES OF SHEAVES 156487 1% 75% 9 Search MODULI+SPACES+OF+SHEAVES Search MODULI+SPACES+OF+SHEAVES
9 MODULI OF SHEAVES 148374 1% 80% 8 Search MODULI+OF+SHEAVES Search MODULI+OF+SHEAVES
10 BRIDGELAND STABILITY 139103 0% 100% 6 Search BRIDGELAND+STABILITY Search BRIDGELAND+STABILITY

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 47 87% 12
2 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 39 89% 11
3 SAWON, J , (2016) MODULI SPACES OF SHEAVES ON K3 SURFACES.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 109. ISSUE . P. 68 -82 32 89% 0
4 DIACONESCU, DE , (2016) VERTICAL SHEAVES AND FOURIER-MUKAI TRANSFORM ON ELLIPTIC CALABI-YAU THREEFOLDS.COMMUNICATIONS IN NUMBER THEORY AND PHYSICS. VOL. 10. ISSUE 3. P. 373 -431 31 89% 0
5 MEACHAN, C , ZHANG, ZY , (2016) BIRATIONAL GEOMETRY OF SINGULAR MODULI SPACES OF O'GRADY TYPE.ADVANCES IN MATHEMATICS. VOL. 296. ISSUE . P. 210 -267 27 90% 1
6 TODA, Y , (2016) STABLE PAIR INVARIANTS ON CALABI-YAU THREEFOLDS CONTAINING P-2.GEOMETRY & TOPOLOGY. VOL. 20. ISSUE 1. P. 555 -611 32 78% 0
7 TODA, Y , (2011) CURVE COUNTING INVARIANTS AROUND THE CONIFOLD POINT.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 89. ISSUE 1. P. 133 -184 29 88% 0
8 NUER, H , (2016) PROJECTIVITY AND BIRATIONAL GEOMETRY OF BRIDGELAND MODULI SPACES ON AN ENRIQUES SURFACE.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 113. ISSUE . P. 345 -386 26 84% 0
9 MONGARDI, G , WANDEL, M , (2015) INDUCED AUTOMORPHISMS ON IRREDUCIBLE SYMPLECTIC MANIFOLDS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 92. ISSUE . P. 123 -143 23 92% 2
10 BRYAN, J , STEINBERG, D , (2016) CURVE COUNTING INVARIANTS FOR CREPANT RESOLUTIONS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 3. P. 1583 -1619 24 77% 1

Classes with closest relation at Level 1


Rank Class id link
1 17064 INSTANTON BUNDLES//ULRICH BUNDLES//GLOBALLY GENERATED
2 27516 HOPF MANIFOLDS//GLOBAL RESOLUTIONS//SPIN7 INSTANTON
3 7151 GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS
4 6160 HIGGS BUNDLES//PARABOLIC BUNDLE//PRINCIPAL BUNDLE
5 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
6 6559 MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES
7 11480 INTERSECTION HOMOLOGY//ALGEBRAIC CYCLES//CHOW GROUPS
8 1202 FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS
9 1220 CLUSTER ALGEBRA//CLUSTER CATEGORY//AUSLANDER REITEN QUIVER
10 8154 F THEORY//SUPERSTRING VACUA//SUPERSTRINGS AND HETEROTIC STRINGS

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