On the exceptional fibres of Kleinian singularities

By W. Crawley‐Boevey. 2000

120 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a4bc1b64f0e7d4e9ab870e571ea1435bd5e1d373

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Bernard Leclerc
2. Osamu Iyama
3. C. Geiss
4. J. Schröer
5. Yuya Mizuno
6. B. Keller
7. Takuma Aihara
8. I. Reiten

In Discrete Mathematics and Combinatorics

1. Osamu Iyama
2. Bernard Leclerc
3. Yuya Mizuno
4. Pierre Baumann
5. Peter Tingley
6. C. Geiss
7. J. Schröer
8. Joel Kamnitzer

In Geometry and Topology

1. Osamu Iyama
2. Bernard Leclerc
3. C. Geiss
4. J. Schröer
5. Yuya Mizuno
6. I. Reiten
7. Pierre Baumann
8. Takuma Aihara

Citations in the corpus

• Cluster algebras and representation theory (2010, background): “Before stating it, we recall that modΛ possesses a remarkable symmetry with respect to extensions, namely, Ext(1)Λ(X,Y ) is isomorphic to the dual of Ext 1 Λ(Y,X) functorially in X and Y (see [10, 25]).”
• Geometry of the Moment Map for Representations of Quivers (2001, background): “vertex with b v a 1) if it has no nonzero subrepresentation which is zero at v .T his is dual to the notion of ‘v-generated’ of [ 4, Section 2 ]. By [18, Lemma 3.8] the points of MOv;wU are in one-to-one correspondence with isomorphism classes of 1-cogenerated representations of P 0 of dimension a.”
• Multiplicative preprojective algebras, middle convolution and the Deligne–Simpson problem (2004, background): “6 instead of [1] in the proof of [3, Lemma 6.”
• Normality of Marsden-Weinstein reductions for representations of quivers (2001, background): “Thus we just need X =G to have property (S2),and thisisa specialcaseofthe theorem .”
• Preprojective algebras and MV polytopes (2010, background): “These functors extend the usual BGP (Bernstein, Gelfand, Ponomarev) reflection functors [4] to the preprojective framework; they are different from Crawley-Boevey and Holland’s reflection functors [6] for the deformed preprojective algebra.”
• Semicanonical bases and preprojective algebras (2004, background): “The following remarkable property of preprojective algebras was proved in [12].”
• Classifying tilting complexes over preprojective algebras of Dynkin type (2015, methodology): “We refer to [5,10,15] and see [20] for the detailed proofs.”
• Auslander–Reiten theory revisited (2008, background): “More generally, we have the following result [47, 45, 61].”